What is the answer to a-bi-6ai-6bi^2=5+5i ?

The answer to a-bi-6ai-6bi^2=5+5i is a=-1,b=1

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a-bi-6ai-6bi^2=5+5i

a - bi - 6 ai - 6 b i^{2} = 5 + 5 i

a = - 1, b = 1

Solution steps

a - bi - 6 ai - 6 b i^{2} = 5 + 5 i

Simplify

a - bi - 6 ai - 6 b i^{2} : (a + 6 b) + i (- b - 6 a)

(a + 6 b) + i (- b - 6 a) = 5 + 5 i

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

[a + 6 b = 5 - b - 6 a = 5]

[a + 6 b = 5 - b - 6 a = 5] : a = - 1, b = 1

a = - 1, b = 1

4 (3 + 6 i)^{2} + a (3 + 6 i) + b = 0

x, (2 - i) x + 8 x^{2} = 0

z = 2 e^{i \frac{2 π}{3}}

z = \frac{- 6 z + 2 i}{i z - 3}

x^{2} + 2 x + 1 - i = 0

What is the answer to a-bi-6ai-6bi^2=5+5i ?
The answer to a-bi-6ai-6bi^2=5+5i is a=-1,b=1