What is the answer to (4+i)(x+iy)=(4-i)(x-iy) ?

The answer to (4+i)(x+iy)=(4-i)(x-iy) is x=-4y,y=y

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

(4 + i) (x + i y) = (4 - i) (x - i y)

x = - 4 y, y = y

Solution steps

(4 + i) (x + i y) = (4 - i) (x - i y)

Expand

(4 x - y) + i (x + 4 y) = (4 x - y) + i (- x - 4 y)

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

[4 x - y = 4 x - y x + 4 y = - x - 4 y]

[4 x - y = 4 x - y x + 4 y = - x - 4 y] : x = - 4 y, y = y

x = - 4 y, y = y

3 z - 2 w = - 5 + 10 i

x^{2} + (6 + 2 i) x + (11 + 10 i) = 0

(3 - i) z + (1 + 2 i) = 7 + i es

3 + ai = b + 5 i

2 x + 3 i x - 3 i y + 4 i y + x - y = - 400

What is the answer to (4+i)(x+iy)=(4-i)(x-iy) ?
The answer to (4+i)(x+iy)=(4-i)(x-iy) is x=-4y,y=y