What is the answer to |x^2-2x-8|=2x ?

The answer to |x^2-2x-8|=2x is x=2sqrt(2)\lor x=2(1+sqrt(3))

Solve for x: |x^2-2x-8|=2x

The solution is x=2sqrt(2)\lor x=2(1+sqrt(3))

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x^{2} - 2 x - 8 = 2 x

x = 22 or x = 2 (1 + 3)

Solution steps

x^{2} - 2 x - 8 = 2 x

Find positive and negative intervals

x \leq - 2, - 2 < x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = 22 or x = 2 (1 + 3)

x = 22 or x = 2 (1 + 3)

∣ x - 2 ∣ + ∣ x - 4 ∣ = 6

∣ x + 3 ∣ - ∣ 2 x - 5 ∣ = 7

∣ x ∣ + ∣ y ∣ + ∣ x + y ∣ = 24

∣ - 5 x ∣ = 4 x - 16

∣ 3 - x ∣ = x - 3

What is the answer to |x^2-2x-8|=2x ?
The answer to |x^2-2x-8|=2x is x=2sqrt(2)\lor x=2(1+sqrt(3))
Solve for x: |x^2-2x-8|=2x
The solution is x=2sqrt(2)\lor x=2(1+sqrt(3))