What is the answer to (-x^2+x-1)^3+|x^2-x+1|=0 ?

The answer to (-x^2+x-1)^3+|x^2-x+1|=0 is x=0\lor x=1

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(-x^2+x-1)^3+|x^2-x+1|=0

(- x^{2} + x - 1)^{3} + x^{2} - x + 1 = 0

x = 0 or x = 1

Solution steps

(- x^{2} + x - 1)^{3} + x^{2} - x + 1 = 0

Find positive and negative intervals

- \infty < x < \infty

Solve the inequality for each interval

(x = 0 or x = 1)

x = 0 or x = 1

∣ x - 1 ∣ ∣ x + 5 ∣ = 7

x^{2} + 6 x + 6 = x^{2} + 4 x + 9 + ∣ 2 x - 3 ∣

x^{2} + 3 x + 2 + x + 1 = 0

x^{2} - 4 x + 2 = \frac{( 5 x - 4 )}{3}

∣ x ∣ - 2 ∣ x + 1 ∣ + 3 ∣ x + 2 ∣ = 0

What is the answer to (-x^2+x-1)^3+|x^2-x+1|=0 ?
The answer to (-x^2+x-1)^3+|x^2-x+1|=0 is x=0\lor x=1
Solve for x: (-x^2+x-1)^3+|x^2-x+1|=0
The solution is x=0\lor x=1