What is the answer to |x-5|=x^2-8x+15 ?

The answer to |x-5|=x^2-8x+15 is x=2\lor x=5

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|x-5|=x^2-8x+15

∣ x - 5 ∣ = x^{2} - 8 x + 15

x = 2 or x = 5

Solution steps

∣ x - 5 ∣ = x^{2} - 8 x + 15

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

x = 2 or x = 5

∣ 10 x - 5 ∣ = - 65

9 + ∣ 7 x - 3 ∣ = \frac{2}{5}

y, ∣ x - y ∣ = ∣ y - x ∣

- ∣ x - 2 ∣ + 3 = 0

∣ 3 n ∣ = 15

What is the answer to |x-5|=x^2-8x+15 ?
The answer to |x-5|=x^2-8x+15 is x=2\lor x=5
Solve for x: |x-5|=x^2-8x+15
The solution is x=2\lor x=5