Question

(x +iy)(5 +6i) = 2 +3i​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

x = $\dfrac{28}{61}$ and y = $\dfrac{3}{61}$

Step-by-step explanation:

Since we have given that

(x +iy)(5 +6i) = 2 +3i​

We need to find the value of x and y.

So, it becomes,

$x+iy=\dfrac{2+3i}{5+6i}\\\\x+iy=\dfrac{2+3i(5-6i)}{(5+6i)(5-6i)}\\\\x+iy=\dfrac{10-12i+15i+18}{25+36}\\\\x+iy=\dfrac{28+3i}{61}\\\\x+iy=\dfrac{28}{61}+\dfrac{3}{61}i$

hence, x = $\dfrac{28}{61}$ and y = $\dfrac{3}{61}$

# learn more:

(x+iy)(2-3i)=4+i

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