What is the answer to (x+yi)(2+3i)=1-5i ?

The answer to (x+yi)(2+3i)=1-5i is x=-1,y=-1

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(x+yi)(2+3i)=1-5i

(x + y i) (2 + 3 i) = 1 - 5 i

x = - 1, y = - 1

Solution steps

(x + y i) (2 + 3 i) = 1 - 5 i

Expand

(x + y i) (2 + 3 i) : (2 x - 3 y) + i (2 y + 3 x)

(2 x - 3 y) + i (2 y + 3 x) = 1 - 5 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[2 x - 3 y = 1 2 y + 3 x = - 5]

[2 x - 3 y = 1 2 y + 3 x = - 5] : x = - 1, y = - 1

x = - 1, y = - 1

4 a - 3 i = 6 + bi

∣ a - i ∣ = 37

x^{2} - 2 i x - 2 = 0

(x + y i) + 4 (1 - i) = 5 - 7 i

z^{2} - (5 + 4 i) z + (3 - 5 i) = 0

What is the answer to (x+yi)(2+3i)=1-5i ?
The answer to (x+yi)(2+3i)=1-5i is x=-1,y=-1