What is the answer to |x-2|=-x^2+4x-2 ?

The answer to |x-2|=-x^2+4x-2 is x=1\lor x=3

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|x-2|=-x^2+4x-2

∣ x - 2 ∣ = - x^{2} + 4 x - 2

x = 1 or x = 3

Solution steps

∣ x - 2 ∣ = - x^{2} + 4 x - 2

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = 1 or x = 3

∣ s - 6 ∣ = 0

3 x - 6 = ∣ 2 x + 5 ∣ - 1

∣ 7 x + 4 ∣ = - 32

∣ x - 7 ∣ = 84

∣ 5 d ∣ = 15

What is the answer to |x-2|=-x^2+4x-2 ?
The answer to |x-2|=-x^2+4x-2 is x=1\lor x=3
Solve for x: |x-2|=-x^2+4x-2
The solution is x=1\lor x=3