Help understanding something about the quadratic formula

File: math_prob[2].png (24KB, 240x311px) Image search: [Google]

24KB, 240x311px

Here's the solution given in the answer sheet. I don't understand how the right hand side of the last two equations (from up, downwards) equal each other (._.)

>>331347
You can pull out a 1/2a from the denominator of sqrt(1/(4a^2)).

So you have:
-b/2a + (1/2a * sqrt(shit))

And since they have the same denominator you get:
-b + sqrt(shit) all over 2a

recall that sqrt(a / b) is equal to sqrt(a) / sqrt(b)

also recall that you have to be 18 to post here and this is middle school homework

>>331355
>>331356
I don't understand. The use of the word shit doesn't help.

Calling me underage doesn't help. You don't impress me by acting rude on the internet.

>>331355
I don't understand what you mean by "pull out" 1/2a from the denominator of sqrt(1/(4a^2))... does it go somewhere or something?

I don't understand how I can just change the discriminant's denominator to 2a just like that.

>>331356
If this is really easy for you then it should be very simple for you to explain it. Yet here you are.

File: ez.png (6KB, 218x167px) Image search: [Google]

6KB, 218x167px

>>331367
i did explain it:
>recall that sqrt(a / b) is equal to sqrt(a) / sqrt(b)
that should be enough to realize what is being done here

picrelated is an even more step-by-step explanation

>>331369
Thank you so much! Now I see it.

I knew coming here was a good idea. Thank you again!