What is the answer to |x^2-16|=x-4 ?

The answer to |x^2-16|=x-4 is x=4

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|x^2-16|=x-4

x^{2} - 16 = x - 4

x = 4

Solution steps

x^{2} - 16 = x - 4

Find positive and negative intervals

x \leq - 4, - 4 < x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = 4

x = 4

10 + 2 ∣ x + 3 ∣ = 2

∣ 2 x - 3 ∣ + 6 = 9

∣ r ∣ = 2

x^{2} - 8 x + 14 = 2

3 - ∣ 6 + 5 r ∣ = 15