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

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

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

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

x = - 1 or x = 1

Solution steps

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

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

No Solution or (x = - 1 or x = 1)

x = - 1 or x = 1

∣ x + 1 ∣ + ∣ x - 1 ∣ = 3

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

∣ 3 x + 5 ∣ + ∣ 4 x + 7 ∣ = 12

\frac{( 4 x - 1 )}{3} = 2 x

∣ x ∣ + ∣ y ∣ = 1

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