What is the answer to |x^2-9|=x-3 ?

The answer to |x^2-9|=x-3 is x=3

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|x^2-9|=x-3

x^{2} - 9 = x - 3

x = 3

Solution steps

x^{2} - 9 = x - 3

Find positive and negative intervals

x \leq - 3, - 3 < x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = 3

x = 3

∣ 2 x - 5 ∣ = 4 - ∣ x - 3 ∣

∣ z + 1 ∣ = ∣ z - 1 ∣

x^{2} + 2 x + 3 = x^{2} - x + 1

5 - 6 ∣ x ∣ = - 7

16 - x^{2} = 20