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

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

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

∣ x ∣^{3} - 3 x^{2} + 3 ∣ x ∣ - 2 = 0

x = - 2 or x = 2

Solution steps

∣ x ∣^{3} - 3 x^{2} + 3 ∣ x ∣ - 2 = 0

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 2 or x = 2

∣ x - a ∣ = 2

∣ 3 x + 1 ∣ = ∣ x - 2 ∣

∣ x + 3 ∣ = ∣ x + 2 ∣ + 4

∣ x - 1 ∣ - ∣ x - 5 ∣ = 8 - x

∣ x - 1.5 ∣ = 2

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