Question

find x if (x+iy) + (5+6i) = 12+3i​

Answer 1

Answer:

Given -

$(x + iy) + (5 + 6i) = 12 + 3i$

To Find -

value of x

Solution -

$x + iy = \frac{2 + 3i}{5 + 6i}$

$x + iy = \frac{(2 + 3i)(5 - 6i)}{(5 + 6i)(5 - 6i)}$

$= > \frac{10 - 12i + 15i - {18}^{2} }{25 - {36i}^{2} }$

$x + iy = \frac{28 + 3i}{61} = \frac{28}{61} + \frac{3}{61} i$

$= > x = \frac{28}{61} and \: y = \frac{3}{61}$

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