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

The answer to |x^2-3x|=x-3 is x=3

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|x^2-3x|=x-3

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

x = 3

Solution steps

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

Find positive and negative intervals

x \leq 0, 0 < x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = 3

x = 3

4 x^{2} - 1 = 0

4 ∣ 5 x - 2 ∣ + 1 = 21

∣ 3 x + 2 ∣ = 9

∣ 8 x ∣ - 5 = 75

(2 + ∣ x - 2 ∣) = 1