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

The answer to |x|=x^3+2x^2-3x is x=-1-sqrt(3)\lor x=0\lor x=-1+sqrt(5)

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

The solution is x=-1-sqrt(3)\lor x=0\lor x=-1+sqrt(5)

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∣ x ∣ = x^{3} + 2 x^{2} - 3 x

x = - 1 - 3 or x = 0 or x = - 1 + 5

Decimal

x = - 2.73205 \dots, x = 0, x = 1.23606 \dots

Solution steps

∣ x ∣ = x^{3} + 2 x^{2} - 3 x

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 1 - 3 or (x = 0 or x = - 1 + 5)

x = - 1 - 3 or x = 0 or x = - 1 + 5

∣ x + 3 ∣ = 2 x + 4

2 ∣ x + 1 ∣ - ∣ 2 x - 4 ∣ = 1

∣ x + 1 ∣ + ∣ 5 x - 2 ∣ = 6

(x - 3)^{2} - 12 ∣ x - 3 ∣ + 35 = 0

- 11 = - 2 ∣ 5 d - 1 ∣ - 3

What is the answer to |x|=x^3+2x^2-3x ?
The answer to |x|=x^3+2x^2-3x is x=-1-sqrt(3)\lor x=0\lor x=-1+sqrt(5)
Solve for x: |x|=x^3+2x^2-3x
The solution is x=-1-sqrt(3)\lor x=0\lor x=-1+sqrt(5)