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hey guys im wondering whats the answer for...
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hey guys im wondering whats the answer for (1-4i)z=10+11i if i need z's imaginary part?
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it was on my exam but i dont know how to do it, can you help me brah?
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>>7788870
>can you help me brah?
yes
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>>7788878
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>>7788862
divide both sides by 1-4i and take the imaginary part
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>>7788881
No.
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>>7788888
Holy shit check those bodacious quints
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>>7788888
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>>7788881
Just divide both sides by (1-4i)
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>>7788862
divide both sides by (1-4i)

multiply by the complex conjuage (1+4i)

simplify and take the imaginary term
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>>7788862
$(1-4i)z = 10+11i$
$z = \frac{10+11i}{1-4i}$
$z = \frac{(10+11i)(1+4i)}{(1-4i)(1+4i)}$
$z = \frac{-34}{17} + \frac{51}{17}i = -2 + 3i$
$Im(z) = 3i$
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>>7788862
Underage/noob detected
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>>7789378

Technically, isn't the imaginary part simply 3? Don't we only cite the coefficient of the imaginary unit as the imaginary component of a complex number?