What is the answer to |x-3|=x^2-5x+6 ?

The answer to |x-3|=x^2-5x+6 is x=1\lor x=3

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|x-3|=x^2-5x+6

∣ x - 3 ∣ = x^{2} - 5 x + 6

x = 1 or x = 3

Solution steps

∣ x - 3 ∣ = x^{2} - 5 x + 6

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = 1 or x = 3

∣ x + 2 ∣ + ∣ x + 5 ∣ - ∣ x - 7 ∣ = 15

x^{2} - x + 3 = x^{2} - 4 x + 7

∣ x + 3 ∣ - 5 = 4

∣ x - 1 ∣ + ∣ x - 3 ∣ = \frac{3}{2}

∣ x + 3 ∣ + 3 = 3

What is the answer to |x-3|=x^2-5x+6 ?
The answer to |x-3|=x^2-5x+6 is x=1\lor x=3
Solve for x: |x-3|=x^2-5x+6
The solution is x=1\lor x=3