What is the answer to |x^2-6x+8|=x-2 ?

The answer to |x^2-6x+8|=x-2 is x=2\lor x=3\lor x=5

Solve for x: |x^2-6x+8|=x-2

The solution is x=2\lor x=3\lor x=5

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x^{2} - 6 x + 8 = x - 2

x = 2 or x = 3 or x = 5

Solution steps

x^{2} - 6 x + 8 = x - 2

Find positive and negative intervals

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

Solve the inequality for each interval

x = 2 or x = 3 or x = 5

- 10 = 8 - 2 ∣ 3 x ∣

x, y - ∣ x ∣ = 6

x^{2} + 3 ∣ x ∣ - 18 = 0

∣ x ∣ + 6 = 3

- 3 ∣ x + 8 ∣ - 5 = 4

What is the answer to |x^2-6x+8|=x-2 ?
The answer to |x^2-6x+8|=x-2 is x=2\lor x=3\lor x=5
Solve for x: |x^2-6x+8|=x-2
The solution is x=2\lor x=3\lor x=5