What is the answer to a=bi ?

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a=bi

a = bi

a = 0, b = 0

Solution steps

a = bi

Rewrite

a

in standard complex form:

a + 0 i

a + 0 i = bi

Rewrite

bi

in standard complex form:

0 + bi

a + 0 i = 0 + bi

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

[a = 0 0 = b]

[a = 0 0 = b] : a = 0, b = 0

a = 0, b = 0

i x^{2} - 3 x - 2 i = 0

z^{2} + 2 i z - 5 = 0

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

i z^{2} - (2 + 2 i) z + 2 - i = 0

x^{2} + x + i = 0