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

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

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

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

x = 0 or x = 1

Solution steps

(x - 1 - x^{2})^{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 - 3 ∣ = 5 - 2 x

∣ x + 5 ∣ + ∣ 3 - 5 ∣ = 15

∣ x - 1 ∣ + ∣ x - 3 ∣ + 3 ∣ 5 - x ∣ = 9

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ + ∣ x - 4 ∣ = 4

∣ x + 2 ∣ = - 17

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