What is the answer to |x-19|=x^2-19x ?

The answer to |x-19|=x^2-19x is x=-1\lor x=19

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|x-19|=x^2-19x

∣ x - 19 ∣ = x^{2} - 19 x

x = - 1 or x = 19

Solution steps

∣ x - 19 ∣ = x^{2} - 19 x

Find positive and negative intervals

x < 19, x \geq 19

Solve the inequality for each interval

x = - 1 or x = 19

2 x - x^{2} + 3 = 0

∣ 2 x - 1 ∣ - 5 = - 3

∣ 2 x + 3 ∣ = 3 x + 4

x^{2} - 2 x - 5 = 3

\frac{4 x - 8}{2} = 8

What is the answer to |x-19|=x^2-19x ?
The answer to |x-19|=x^2-19x is x=-1\lor x=19
Solve for x: |x-19|=x^2-19x
The solution is x=-1\lor x=19