Whats the scariest equation you know?

[math] \zeta(s)=0 [/math]

>>8793027
2=1

>>8793033
Literally shaking righte now

>>8793027
energy mass equivalence

for normies that don't set c to be unitless:
[math] e=mc^{2} [/math]

(me)^2=s

>>8793031
oh yeah? prove it

>>8793049
>normies
>not put a complete equation
[math]E^2=m^2c^4+(pc)^2[/math]

>>8793069
prove what?

N=NP

>>8793049
for the love of god at least use the full equation

>>8793074
nigger the point is nuclear weapons, momentum ain't got nothing to do with it

e^(iπ)=-1

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Airy Function

>>8793027
y=mx+b

>>8793150
Ya blew it

>>8793211
Holy shit what the fuck is that take it out of my mind

>>8793027
Sin x = opp/hyp

>>8793211
for some reason where live its taught as
y =mx + c

>>8793305
weird. where I live it's
y = mx + t

>>8793305
>>8793406
Kek.
[math]y=mx+q[/math] in Italy.

>>8793027

Spherical harmonics, Hankel and Bessel functions were hard for me, at first.

>>8793166
kek

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>>8793027
By far.

[math]n!+1=m^{2}[/math]

>>8793027
momentum equations always freak me the fuck out

>>8793408
>>8793406
>>8793305
>>8793211
ay+bx+c=0 where I live, plebs

>>8793027
Navier-Stokes, despite being not a very advanced one, is quite scary

>>8793049
No one uses small e for energy you brainlet

>>8793305
>>8793406
>>8793408
kx + d = y in Austria

>>8793413
What is this?

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euler's identity

it has everything in it it. e,i,pi,1,0

you can't just do shit like that homie

>>8793437
>Navier-Stokes, despite being not a very advanced one, is quite scary
I solved Navier-Stokes yesterday while sleeping.
Too bad my dream recall is shit.

>>8793305
y = kx + m in Swediland.

>>8793480
>homie
>>>/b/

>>8793211
>>8793305
>>8793408
>>8793426
>>8793466
y = ax + b masterrace reporting in.

>>8793406
Just to clarify, mx+t is Germany

>>8793521
Oh and the t is called Y-Achsenabschnitt in German.

>>8793521
I'm from germany and we learned it with mx+b

>>8793027
Nice pic

>>8793150
this guy took his first compsci course yesterday afternoon!!!! congrats

>>8793480
Not even just the e^i*pi shit, his identity is the basis for all complex exponents ever,

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>>8793027

trigger warning

>>8793211
>>8793305
>>8793406
>>8793408
>>8793426
>>8793508
>>8793521

[math]
y - y_{0} = m(x - x_{0})
[/math]

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1=1

Is this thread a discussion about what we name the constants in the equation for a line? Are you all 12?

>>8793027
8" per mile squared
used to calculate the unseen drop in the horizon from the observer on a ball with a circumference of 25000 miles
Spherical trigonometry proves flat earth

>>8794131
What is that?

>>8793211
>>8793305
>>8793406
>>8793408
>>8793426
>>8793466
>>8793508
>>8794148
literal degeneracy.

y = x(t) = at+b

>>8793069
congratulations, you're retarded

f (x) = Ax + B in canada

>>8793480
its a meme like the -1/12th thing. Its not real math, just a little game like when your friend proved 1+1=3 with some dumb shit.

>>8793305
>>8793406
>>8793408
>>8793426
>>8793466
>>8793508
>>8793521
>>8794148
>>8794273
strange, it's f = ar + t where I'm from

>>8794389

the -1/12th thing is used in physics though

not saying the sum of all natural numbers is equal to 1/12th but it makes ya think

>>8794747
>>8794758
So is e^pi*i, check out circuits

test

>>8794747
>>8794273
>>8794148
>>8793521
>>8793508
>>8793466
>>8793426
>>8793408
>>8793406
>>8793305
You can see how shit the education in the US is

In Europe, a line is defined as a geodesic in a local parametrization of [math]\mathbb{R}^n[/math]

>>8794805

Fail!

>>8794758
It's because Zeta shows up a lot
But it's not seen as 1 + 2 + 3 + 4 + 5 + ...

Unlike -1/12, e^ipi can actually be proved mathematically rather easily, provided you know about power series and how sine and cosine are actually defined.

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>>8794799
No, it's not. It's just a sometimes beneficial way of using sine and cosine
[math]e^{i \cdot x} = \mathrm{cos}(x) + i \cdot \mathrm{sin} (x)[/math]

>>8794812
The [math]\pi[/math] is arbitrary though and comes from choosing it as measurement for angles.

>>8794823
>The π is arbitrary though and comes from choosing it as measurement for angles.
e^ipi is nothing but [math]e^{i \cdot x} = \mathrm{cos}(x) + i \cdot \mathrm{sin} (x)[/math] with x = pi.

>>8794823
Tell me what 2^i is without using euler

>>8794830
Exactly. And only in radians will [math]cos(\pi) = -1[/math] and [math]sin(\pi) = 0[/math], making [math]e^{i \cdot \pi} = -1[/math].
Instead of [math]\pi[/math] you could also use 180 °.

>>8793027
-2 s = the time I took from you reading this

>>8793408
>>8793406
>>8793305
literal savages

y(x) = kx+n in USSR

>>8794148
wtf
y-y1=m(x-x1) here

>>8793167
found the Physics F-student

\Delta S\ge 0.

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[math]3^3+4^3+5^3=6^3[/math]

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>>8793027
This one is pretty spooky

[eqn]\bigg(\sum\limits_{i=1}^ni\bigg)^2=\sum\limits_{i=1}^ni^3[/eqn]

>>8793305
Funny, it's y = x + k here in Botswana.

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>>8794942
Here is another fun one

[eqn] 3^{n+1}+1 \neq 2^{m+2} \qquad \forall n, m\in\mathbb{N} [/eqn]

>>8794978
So in Botswana, every line in the plane has gradient 1

>>8794942
That one i didn't see before, nice.

>>8793468
Price equation, Price commited suicide once he understood it.

>>8793413
>>8795184

That is pretty spooky, but the equation doesn't seem to have a strong empirical foundation. There are too many exceptions

d/dx(e^x)=e^x

>>8793027
>Using partial differentials for a univariate function

X=(C*U)(C*K)

>>8793211

> he can't into parametric

how embarassing

>>8794148
absolutely agree

entropy > 0

>>8795431
Chills

>>8794131
kek

[math] lim_{x \to 0} \frac{ln(-x)}{i \pi} = i \infty [/math]

0 must equal 100%

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>>8793027
I understood that joke

>>8795555
Anybody who has taken a 10th grade calculus course understands that joke.

Nice quads.

>>8794273
>x(t)
What is the point of this?

>>8794942
2spoop

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>>8793413
>>8795184
>>8795210
>In the theory of evolution and natural selection, the Price equation (also known as Price's equation or Price's theorem) describes how a trait or gene changes in frequency over time. The equation uses a covariance between a trait and fitness to give a mathematical description of evolution and natural selection. It provides a way to understand the effects that gene transmission and natural selection have on the proportion of genes within each new generation of a population.
Why is it spooky?

>>8794942
WHAT THE FUCK

just thinking about the Lagrangian density (not the t-shirt meme expanded formula) fills me with remorse of all those wasted years studying physics...the mass-energy and the energy-momentum Einstein equations feel like high school math in comparison

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>>8794942
Define [eqn] \text{S}_k = \sum_{i=1}^n i^k [/eqn]
If we're given [math] \text{S}_1 = n(n+1)/2 [/math]
[eqn] \implies \text{S}_1^2 = \text{S}_2 + 2 \sum_{\substack{i=2,n \\ j<i}} ij = \text{S}_2 + 2\sum_{i=1}^n i\frac{(i-1)i}{2} = \text{S}_3[/eqn]

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>>8795788
>>8795766

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Corrected version. Yes, it's real.
[eqn] \sum_{A_ \ k}^n \ \ \ \sum_{A_{ \ k-1}}^{A_{ \ k}} \ \ \ \sum_{A_{ \ k-2}}^{A_{ \ k-1}} \ \ \ \sum_{A_{ \ k-3}}^{A_{ \ k-2}} \cdots \sum_{A_{\ 1}}^{A_{\ 2}} A_1 = \frac{n(n+1)(n+2)(n+3)\cdots(n+k)}{1\cdot2\cdot3\cdot4\cdots k(k+1)}[/eqn]

>>8793305
here it's y=mx+q

>>8796354
All sums begin at 1

>>8793508
The only true minimalist function.
A simple yet elegant little equation.
Makes me tear up a bit

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>>8794926
[eqn] 10^3 + 9^3 = 12^3 + 1^3 = 1729 [/eqn]

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>>8794926

>>8796306
yes you found it verry good :)

>>8795763

In some classes, x(t) is meant to represent: "Position of particle at time t."

>>8794823
this
it triggers me when people are like "hurr durr circuits uses complex numbers hurr"
it's literally only a way of representing shit moving around in a circle

>>8794990
Take m,n to be 0. Where's my fields medal?

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>>8793074
>>8793049
defind the variables REEEEEEEEEEE

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2+2

>>8793406
>>8793305
here in australia we always learned it
q + xw = λ

>>8796307
>>8794942
This is the only one that's spooked me so far.

>>8793027
[math] \delta S \geq 0 [/math]

>>8794942
i dont like that one bit

>>8796542
kek
>>8796598
Objectively right answer

[eqn] \ddot{q} = f(t,q,\dot{q} ) [/eqn]

[eqn]f(x) = y[/eqn]

x=x

>>8796354
No shit a sum of sums starting from one less of a sum results in that sum.

>>8796598
Honestly terrifying

>>8796542
fucking lol

80085

>>8793027
e^iπ=-1

[math]\displaystyle f(x)=\sum_{n=0}^\infty a^n \cos{\left(b^n\pi x \right)}[/math] where [math]0<a<1[/math] and b is a positive odd integer. Lowest working value for b is 7.

Try graphing the derivative of that on desmos.

>>8793211
>not using slope intercept form

>>8797158
Really, the lowest working value is 7? That's pretty bizarre. I've seen this formula before, but don't remember that aspect.

So for b=6 is this function differentiable?

>>8797561
b must be a positive odd integer for this to work. I forgot to mention that [math]ab>1+1.5\pi[/math].

>>8797570
Do you know how you prove these things? Or where to read one?

>>8793027
(you)^-2=virgin

1 + 1 = 11

>>8797599
https://books.google.com/books?id=1FhtAAAAMAAJ&pg=PA71#v=onepage&q&f=false

I don't know where an English translation is, sorry.

p | ( p | p )

>>8794131
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

φ=φ+1

>>8794747
underrated

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>>8795254

[math]1 + e^{πi} = 0[/math]

>>8793211
>using m for number that's not natural

85-x =0

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>>8794809
>Using lines in anything but projective spaces over finite fields

>>8797093
It isn't so clear to me this is trivial. What exactly are you talking about?

>>8793031
YOU MISTYPED -1/12

>>8793305
weird for some reason where live its taught as
y =mx + nigger

>>8798434
strange, for me my teacher taught it as
dinner = nigger*nigger + chicken

X=X

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>>8798459

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>>8796470
Brainlet detected.

[math]0 \not \in \mathbb{N} [/math]

>>8794849
Radian is the true unit of measurement.

>>8798440
kek

[eqn]\forall X(X \in R \iff X \notin X)[/eqn]

>>8793805
Education federalism. Each state has its own curriculum

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>>8793027

1+1 = BOO

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Sperm + Egg = Human Child

scary thing is that it's true

[eqn] \int_{0}^{1} k^{-k} dk = \sum_{k=0}^{\infty} k^{-k} [/eqn]

>>8799779
this one is pretty spooky

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>>8793027
0.9999999....=1

>>8799779
Wait on the left side k is a real and on the right side a natural number?

>>8794942
Proof:
Let [math] T_k = \frac{1}{2} k(k+1) = \sum_{j=1}^k j [/math] for natural k ([math] T_0 = 0 [/math]).
Then verify that for k >= 1, [math] T_k - T_{k-1} = k [/math], and [math] T_k + T_{k-1} = k^2 [/math]:
[eqn] \frac{k^2+k}{2} - \frac{k^2-k}{2} = k [/eqn]
[eqn] \frac{k^2+k}{2} + \frac{k^2-k}{2} = k^2 [/eqn].
Thus [math] k^3 = {T_k}^2 - {T_{k-1}}^2 [/math] so, telescoping,
[eqn] \sum_{k=1}^n k^3 = {T_n}^2-{T_0}^2 = \bigg(\sum_{k=1}^n k\bigg)^2 [/eqn].

>>8793027
is the meme saying the derivative of e

>>8800588
k is a dummy variable. This could just as well be written
[eqn] \int_{0}^{1} a^{-a} da = \sum_{z=0}^{\infty} z^{-z} [/eqn].

>>8796306
>>8800754

>>8800793
I don't understand >>8796306 so I put up a proof I do.

>>8800844
It's a binomial expansion of [math] S_1 [/math]. One of the terms is a sum over [math] i [/math] and [math] j [/math]. We're able to do the sum over [math] j [/math] by applying the formula [eqn] S_1 = \frac{n(n+1)}{2} [/eqn].

Now, we can make the sum from [math] i =1 [/math] instead of [math] i=2 [/math] as the term is zero at [math] i=1 [/math]. The rest is just simplifying and combining.

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>>8798530
It is you that is the brainlet.

>>8800881
No, you're both brainlets. In France 0 is not in the Natural numbers.

>>8800881
define 0 without the negative numbers

>protip: you can't

>>8800883
>has an international standard brought up
>d-dans mon pays...

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>>8800889

>>8800891
nigger, france SETS the international standard

>>8801246
Yet you seem to disregard the image above that literally comes from the ISO 80000-2, stating [math]\{0, 1, 2, 3, \cdots \}= \mathbf{N}[/math]

>>8800938
gg

Lines and series never b the same

How to understand this thread? where do I even start?

e^iθt=cos(θt)+isin(θt)

[eqn] \dfrac{y}{mi}+ix+e^{i\pi}\dfrac{c}{mi}=\bigg(2^{i\pi}\big(\frac{2}{1}\big)^{i\frac{\pi^2}{\tau}}\big(\frac{2}{3}\frac{4}{3}\big)^{i\frac{\pi^2}{2\tau}}\big(\frac{4}{5}\frac{6}{5}\frac{6}{7}\frac{8}{7}\big)^{i\frac{\pi^2}{2^2\tau}}\dots\bigg)\bigg(\dfrac{e^{i\tau}⋅i^4}{11.999\dots}\bigg)-\sum_{n=1}^{\infty}n [/eqn]

>>8802068
That's funny, I'm waiting to find something new. I've only seen two formula I haven't proved before myself in this thread yet.

>>8802210
which ones? >>8796628 is an axiom

>>8802224
These two: >>8797158 >>8796354
The first is a continuous function that is non differentiable. The second is believable enough and resembles multiple integrals in calculus, but certainly weird as you change the variable you're summing over k times.

>>8796628
>>8802224
Yes, it's an axiom in physics. Dirac used this principle to discover a new particle.

>>8793185
Mean shit right there

>>8802204
what the fuck is this?

>>8802265
Someone spewing shit

>>8802265
>>8802277
a connection between major constants in mathematics, v important
also it is just y=mx+c but forget about that

>>8802284
kek

>>8802042
[math]0=ax^2+bx+c\\0=x^2+\tfrac{b}{a}x+\tfrac{c}{a}\\(x+\tfrac{b}{2a})^2=x^2+\tfrac{b}{a}x+\tfrac{b^2}{4a^2}\\(x+\tfrac{b}{2a})^2-\tfrac{b^2}{4a^2}=x^2+\tfrac{b}{a}x\\0=(x+\tfrac{b}{2a})^2-\tfrac{b^2}{4a^2}+\tfrac{c}{a}\\\tfrac{c}{a}=\tfrac{4ac}{4a^2}\\0=(x+\tfrac{b}{2a})^2-\tfrac{b^2+4ac}{4a^2}\\(x+\tfrac{b}{2a})^2=\tfrac{b^2+4ac}{4a^2}\\x+\tfrac{b}{2a}=\tfrac{\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/math]

>>8802406
Now derive all 3 formula for the cubic

>>8802413
https://mathematics.knoji.com/deriving-the-cubic-formula-detailed-steps-included/
hmm, maybe one day

>>8802413
how long did it even take to find a general solution for the cubic?

1 + e^(2ipi) = 2 is by far the most beautiful equation in all of math.

>>8802517
*[math] 1+e^{i \tau} = 2 [/math]

>>8793027
[math]\Gamma^i_{\quad kl} = \frac{1}{2}g^{im}\left(g_{mk,l}+g_{ml,k}-g_{kl,m}\right)[/math]

Christoffel symbols, AKA "Christ these symbols are awful"

>>8802558
Argand:
[eqn]\operatorname{Arg}(z-c) = \theta \equiv \arctan(m) \pm \pi[/eqn]
...I think.
Or more simply,
[eqn]\theta \in \operatorname{arg}(z-c)[/eqn]

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>>8802406
Actually pretty scary

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>>8793027

>>8793049
Isn't [eqn]c^2[/eqn] a vector?

>>8802924
This is just funny, it's like someone was having a mathematical manifestation of a stroke

or

[spoiler]a Stoke :^)[/spoiler]

pi = 3

PV=nRT

>>8803051
>this isn't even my final form

>>8802558
One of the funniest pictures

[eqn]a^2+b^2=(a+b)^2[/eqn]

>>8802583
This. I can still recall the distinct sense of doom I felt every time I saw a capital gamma at any point while taking Riemannian geometry.

>>8803034
It's from number theory, so it's just a mathematical manifestation of actual autism.

>>8803222
That's just the Freshman's lemma though.

>>8793211
in germany its taught as

y=mx+b
or
f(x)=mx+b

>>8793521
Klett Formelsammlung says
mx+b

>>8795763
>>8796446
german we have f(x)

>>8793305
strange. Here in north korea we always recited

n = (or)m + ies

>>8803222
5th grade in germany tier

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>>8802924
>>8803034
>>8803227
here's the paper
it's a relatively recent result about gaps between prime numbers

https://arxiv.org/pdf/1412.5029.pdf

>>8802924
is that log(x)*log(log(x))*log(log(log(log(x))))
or
log(x*log(log(x*log(log(log(log(x)))))))?

>>8802406
[math]
\begin{align*}
ax^2 + bx +c &= 0 \\
ax^2 + bx &= -c \; \; \; \; | \; \cdot 4a \\
4a^2x^2 + 4abx &= -4ac \; \; \; \; | \; +b^2 \\
4a^2x^2 + 4abx +b^2 &= b^2 -4ac \\
(2ax + b)^2 &= b^2 -4ac \\
2ax + b &= \pm \sqrt{b^2 - 4ac} \\
2ax &= -b \pm \sqrt{b^2 - 4ac} \\
\displaystyle
x &= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\end{align*}
[/math]

>>8803240
>north korea
arent your i's imaginary?

>>8799779
wew lad

>>8800844
I like it

>>8793406
Where I live it's y=mx + n

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>>8802924

>>8800881
People who argue about whether 0 is in N are just annoying to adults.

>>8802250
>Dirac used this principle to discover a new particle.
oh?

Not an equation, but

0D: [math]\sqrt{0} = \sqrt{\sqrt{0}*\sqrt{0}} = ...[/math]
1D: [math]\sqrt{1} = \sqrt{\sqrt{1}*\sqrt{1}} = ...[/math]
2D: [math]\sqrt{-1} = \sqrt{\sqrt{-1}*\sqrt{-1}} = ...[/math]
3D: ?

The only option fitting the pattern is [math]\sqrt{\infty } = \sqrt{\sqrt{\infty }*\sqrt{\infty }} = ...[/math]

>>8804520
[math]x=\sqrt{x}\times\sqrt{x}[/math]

[math] -1=\sqrt{1}=1 [/math]
mathlets [math] b^{t^{f^o}} [/math]

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>>8804555
>LaTeX works in the preview
>doesn't work in the post

>>8804903
this always happens to me too,
try putting a space between "[math]", the latex writing, and "[/math]"
[math] x=\sqrt{x}\times\sqrt{x} [/math]

>>8804985
fucking hell, in the space between the quotes it's supposed to say math and /math

>>8793027

[math] B = f(P, E) [/math]

>>8804520
[math] x=\sqrt{x}\times\sqrt{x}[/math]

>>8804985
>>8804990
thx, putting a space after the [math] works

>>8805026
Woah that's spooky.

[math] e^{\frac{e}{2}}y^y=x^{-x} [/math]

>>8805172
[math] e^{\frac{2}{e}}y^y=x^{-x} [/math]

>>8804903
>>8804985
>>8804990
MathJax is jacked.

>>8803322
neat quate bro, more concise, though it might confuse someone not familiar with completing the square

good idea using a vertical bar [math] \;\;\;\;\vert[/math] to declare what you are doing to both sides of the equation, however the vertical bar has other uses and might cause confusion

https://en.wikipedia.org/wiki/Vertical_bar#Mathematics

Is there a standard notation for this?

0!=1

>>8805026
[math]\frac x {\sqrt x} = \sqrt x[/math]

>>8793027
\psi(x,t)=\sum_{n=1}^\infty c_n e^{-iE_nt/\hbar}\psi_n(x),

>>8803322
[eqn]\begin{align*}(x-p)(x-q) &= x^2-(p+q)x+pq, p \geq q \\ ax^2+bx+c &= 0 \\ x^2+\frac{b}{a}x+\frac{c}{a} &= 0 \\ \implies -\frac{b}{a} &= p+q \\ \frac{c}{a} &= pq \\ (p+q)^2-(p-q)^2 &= (p^2+2pq+q^2)-(p^2-2pq+q^2) \\ &=4pq \\ \implies (p-q)^2 &=(p+q)^2-4pq \\ &=\frac{b^2}{a^2}-4\frac{c}{a} \\ \implies p-q &= \sqrt{\frac{b^2}{a^2}-4\frac{c}{a}} \\ &=\frac{\sqrt{b^2-4ac}}{a} \\ p &= \frac{1}{2}((p+q)+(p-q)) \\ &= \frac{-b+\sqrt{b^2 - 4ac}}{2a}\\ q&=\frac{1}{2}((p+q)-(p-q)) \\ &= \frac{-b-\sqrt{b^2 - 4ac}}{2a}\end{align*}[/eqn]

>>8800762

derivative of e^x is e^x

>>8793027
>using the symbol for partial derivation when the function only has one variable

>>8805825
Actually a lot of people do this, the differentiation operator becoming a normal-font 'd' is a consequence of highschool education

>>8805835
Then why is it called \partial in [math]\rm \LaTeX[/math] .

n = m/M

>>8803222
[math]
\begin{align}
0^2+0^2&=(0+0)^2\\
0+0&=0^2\\
0&=0
\end{align}
[/math]

>>8805825
this is fine. the definition of a partial derivative reduces to that of the one-variable derivative when the function only has one variable.

File: 1488590840385.png (35KB, 700x500px) Image search: [Google]

35KB, 700x500px

Not really an equation, but still

>>8803231
Your point is?

1 + 2 = 3

>>8805835
>>8805825
The partial derivative [math]\partial[/math] is very different to the total derivative [math]d[/math], but they happen to coincide in 1D

>>8799779
Not true. The lower bound of summation has to be 1, not zero.