What is the answer to x^2-3x+2+|x-1|=0 ?

The answer to x^2-3x+2+|x-1|=0 is x=1

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x^2-3x+2+|x-1|=0

x^{2} - 3 x + 2 + ∣ x - 1 ∣ = 0

x = 1

Solution steps

x^{2} - 3 x + 2 + ∣ x - 1 ∣ = 0

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 1

x = 1

3 ∣ v - 3 ∣ = - 18

- 3 + 6 ∣ 8 x - 1 ∣ = - 15

∣ r ∣ = 13

∣ 1 - x ∣ = 0

∣ x - 1 ∣ - 2 = 3