What is the answer to x^2-|2x-8|=0 ?

The answer to x^2-|2x-8|=0 is x=-4\lor x=2

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x^2-|2x-8|=0

x^{2} - ∣ 2 x - 8 ∣ = 0

x = - 4 or x = 2

Solution steps

x^{2} - ∣ 2 x - 8 ∣ = 0

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

(x = - 4 or x = 2) or No Solution

x = - 4 or x = 2

∣ 2 x + 4 ∣ = 2 + x

∣ - 3 x + 16 ∣ = 17

∣ 2 z - 3 ∣ = 2

2 ∣ 2 x - 5 ∣ - 5 = 9

∣ x ∣ = - 18.9