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

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

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

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

x = 0 or x = 2

Solution steps

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 2 x + 2 = - 2 or x^{2} - 2 x + 2 = 2

x^{2} - 2 x + 2 = - 2 or x^{2} - 2 x + 2 = 2

No Solution or (x = 0 or x = 2)

x = 0 or x = 2

\frac{3 z + 5}{6} - 2 = 7

y, - 2 ∣ 2 y - 1 ∣ - 5 = - 7

x^{2} - 100 = 99

x^{2} - 22 x + 2 = 18

∣ 5 x + 1 ∣ = 5