What is the answer to (5+6i)(x+yi)=60+11i ?

The answer to (5+6i)(x+yi)=60+11i is x=6,y=-5

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(5+6i)(x+yi)=60+11i

(5 + 6 i) (x + y i) = 60 + 11 i

x = 6, y = - 5

Solution steps

(5 + 6 i) (x + y i) = 60 + 11 i

Expand

(5 + 6 i) (x + y i) : (5 x - 6 y) + i (5 y + 6 x)

(5 x - 6 y) + i (5 y + 6 x) = 60 + 11 i

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

[5 x - 6 y = 60 5 y + 6 x = 11]

[5 x - 6 y = 60 5 y + 6 x = 11] : x = 6, y = - 5

x = 6, y = - 5

x, c u a d r a t i c a = x^{2} + 4

r, i = \frac{e}{r}

x + y i = 3 - 2 i

Z^{2} = 3 - 4 i

(a^{2} - b^{2}) + 2 abi = - 8 - 6 i

What is the answer to (5+6i)(x+yi)=60+11i ?
The answer to (5+6i)(x+yi)=60+11i is x=6,y=-5