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

The answer to x+(x-y)i=4i is x=0,y=-4

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x+(x-y)i=4i

x + (x - y) i = 4 i

x = 0, y = - 4

Solution steps

x + (x - y) i = 4 i

Rewrite

4 i

in standard complex form:

0 + 4 i

x + (x - y) i = 0 + 4 i

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

[x = 0 x - y = 4]

[x = 0 x - y = 4] : x = 0, y = - 4

x = 0, y = - 4

a^{2} + b^{2} + 1 + 12 i = 6 (a + bi)

Z^{2} - (2 + 2 i) Z - 4 + 2 i = 0

(a + bi)^{2} = 15 + 8 i

i = - 0.3 q^{2} + 30 q

x, s i x = x (x + 1) - x (x - 1)