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

The answer to |x-8|=x^2-8x is x=-1\lor x=8

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

∣ x - 8 ∣ = x^{2} - 8 x

x = - 1 or x = 8

Solution steps

∣ x - 8 ∣ = x^{2} - 8 x

Find positive and negative intervals

x < 8, x \geq 8

Solve the inequality for each interval

x = - 1 or x = 8

∣ 3 x - 9 ∣ = ∣ x - 7 ∣

\frac{∣ x ∣}{2} = 4

∣ 2 x ∣ + 1 = 0

∣ 1 - 2 x ∣ = 0

∣ 3 - x ∣ = 3 - 4