What are the solutions to the equation (1-x)(1-x)(1-x)+(1-x)=0 ?

The solutions to the equation (1-x)(1-x)(1-x)+(1-x)=0 are x=1,x=1+i,x=1-i

Find the zeros of (1-x)(1-x)(1-x)+(1-x)=0

The zeros of (1-x)(1-x)(1-x)+(1-x)=0 are x=1,x=1+i,x=1-i

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(1 - x) (1 - x) (1 - x) + (1 - x) = 0

x = 1, x = 1 + i, x = 1 - i

Solution steps

(1 - x) (1 - x) (1 - x) + (1 - x) = 0

Factor

(1 - x) (1 - x) (1 - x) + (1 - x) : - (x - 1) (x^{2} - 2 x + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

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

The solutions are

x = 1, x = 1 + i, x = 1 - i

z^{7} = - 1 + 2 j

x^{4} + x^{2} + 17 = 0

4 X^{3} - 24 X^{2} = 0

x^{4} - 2 x^{3} + 21 x^{2} - 32 x + 80 = 0

n^{2} (n^{2} + n + 1) = 0

What are the solutions to the equation (1-x)(1-x)(1-x)+(1-x)=0 ?
The solutions to the equation (1-x)(1-x)(1-x)+(1-x)=0 are x=1,x=1+i,x=1-i
Find the zeros of (1-x)(1-x)(1-x)+(1-x)=0
The zeros of (1-x)(1-x)(1-x)+(1-x)=0 are x=1,x=1+i,x=1-i