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

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

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x^2=|2x-8|

x^{2} = ∣ 2 x - 8 ∣

x = - 4 or x = 2

Solution steps

x^{2} = ∣ 2 x - 8 ∣

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

5 ∣ 2 x - 7 ∣ = 5

j (x) = ∣ - 0.5 x ∣ + 2

∣ 2 - 9 x ∣ = 7

∣ x - 2 ∣ = 2 x + 3

∣ x - 3 ∣ = 4 x - 7