What is the answer to |x-5|=x^2-7x+10 ?

The answer to |x-5|=x^2-7x+10 is x=1\lor x=5

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|x-5|=x^2-7x+10

∣ x - 5 ∣ = x^{2} - 7 x + 10

x = 1 or x = 5

Solution steps

∣ x - 5 ∣ = x^{2} - 7 x + 10

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

x = 1 or x = 5

7 - ∣ x - 2 ∣ = - 11

∣ x - 8 ∣ + 7 = 3

∣ 8 - 2 x ∣ = 16

∣ 2 x - 1 ∣ = ∣ x - 2 ∣

∣ x ∣ = 231

What is the answer to |x-5|=x^2-7x+10 ?
The answer to |x-5|=x^2-7x+10 is x=1\lor x=5
Solve for x: |x-5|=x^2-7x+10
The solution is x=1\lor x=5