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

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

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

The solution is x=0\lor x=sqrt(2)\lor x=2

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3 x - x^{3} = x

x = 0 or x = 2 or x = 2

Decimal

x = 0, x = 1.41421 \dots, x = 2

Solution steps

3 x - x^{3} = x

Find positive and negative intervals

x \leq - 3, - 3 < x < 0, 0 \leq x \leq 3, x > 3

Solve the inequality for each interval

No Solution or (x = 0 or x = 2) or x = 2

x = 0 or x = 2 or x = 2

6 + ∣ x - 1 ∣ = 9

∣ 5 x + 3 ∣ + 1 = 8

∣ 2 x - 5 ∣ = ∣ 3 x + 1 ∣

∣ x + 3 ∣ = x^{2} + 2 x - 3

∣ x + 1 ∣ = - 2 x - 5

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