What is the answer to 2a+bi=120-23i ?

The answer to 2a+bi=120-23i is a=60,b=-23

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2a+bi=120-23i

2 a + bi = 120 - 23 i

a = 60, b = - 23

Solution steps

2 a + bi = 120 - 23 i

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

[2 a = 120 b = - 23]

[2 a = 120 b = - 23] : a = 60, b = - 23

a = 60, b = - 23

(x + y) (2 - 3 i) = - i

(2 - i) z^{2} + (8 i - 6) z + (4 - 7 i) = 0

x^{2} + 2 (1 + i) - 5 (1 + 2 i) = 0

m^{2} = - aji

(a + bi)^{2} - 2 (a - bi) = 3