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

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

Solve for x: |x^3-2x^2|+x=2

The solution is x=-1\lor x=1\lor x=2

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

x = - 1 or x = 1 or x = 2

Solution steps

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

Find positive and negative intervals

x < 0, 0 \leq x < 2, x \geq 2

Solve the inequality for each interval

x = - 1 or x = 1 or x = 2

(x - 2)^{2} - 3 ∣ x - 2 ∣ + 2 = 0

∣ x ∣ + ∣ x - 2 ∣ + ∣ x - 4 ∣ = 5

∣ x - 2 ∣ - 4 = 1

x^{2} - 4 = x^{2} - 4

∣ x + 1 ∣ + 3 ∣ x - 2 ∣ + 5 ∣ x - 4 ∣ = 20

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