x and y are real value and x+iy=(5/(−3+4i)) find x and y.(i=(√(−1)))


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Question Number 159453 by Avijit007 last updated on 17/Nov/21

$x a n d y a r e r e a l v a l u e a n d$ $x + iy = \frac{5}{- 3 + 4 i} f i n d x a n d y . (i = \sqrt{- 1})$
Commented by Avijit007 last updated on 17/Nov/21

$h e l p .$
	Answered by Ar Brandon last updated on 17/Nov/21

	$x + i y = \frac{5}{- 3 + 4 i} \times \frac{- 3 - 4 i}{- 3 - 4 i}$ $= \frac{- 15 - 20 i}{9 + 16} = - (\frac{3}{5} + \frac{4}{5} i)$ $x = - \frac{3}{5}, y = - \frac{4}{5}$
	Commented by Avijit007 last updated on 17/Nov/21

	$t h a n k y o u :)$
	Commented by Ar Brandon last updated on 17/Nov/21
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