What is the answer to (x+yi)-(-8+11i)=5+9i ?

The answer to (x+yi)-(-8+11i)=5+9i is x=-3,y=20

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(x+yi)-(-8+11i)=5+9i

(x + y i) - (- 8 + 11 i) = 5 + 9 i

x = - 3, y = 20

Solution steps

(x + y i) - (- 8 + 11 i) = 5 + 9 i

Rewrite

(x + y i) - (- 8 + 11 i)

in standard complex form:

(x + 8) + (y - 11) i

(x + 8) + (y - 11) i = 5 + 9 i

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

[x + 8 = 5 y - 11 = 9]

[x + 8 = 5 y - 11 = 9] : x = - 3, y = 20

x = - 3, y = 20

z^{2} = 33 - 56 i

z^{2} - (1 - 4 i) z - (2 - 4 i) = 0

\frac{5 - 2 i}{z} = 2 + i

(x - y i)^{2} = 4 (x + y i)

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

What is the answer to (x+yi)-(-8+11i)=5+9i ?
The answer to (x+yi)-(-8+11i)=5+9i is x=-3,y=20