What is the answer to Ai=A-P ?

The answer to Ai=A-P is A=0,P=0

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Ai=A-P

A i = A - P

A = 0, P = 0

Solution steps

A i = A - P

Rewrite

A i

in standard complex form:

0 + A i

0 + A i = A - P

Rewrite

A - P

in standard complex form:

(A - P) + 0 i

0 + A i = (A - P) + 0 i

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

[0 = A - P A = 0]

[0 = A - P A = 0] : A = 0, P = 0

A = 0, P = 0

x, x^{2} = 3 + i

\frac{1 - i}{1 + x i} = 2 - 3 i

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

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

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