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

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

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|x^2-16|=x^2-16

x^{2} - 16 = x^{2} - 16

x \leq - 4 or x \geq 4

Solution steps

x^{2} - 16 = x^{2} - 16

Find positive and negative intervals

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

Solve the inequality for each interval

x \leq - 4 or No Solution or x \geq 4

Merge Overlapping Intervals

x \leq - 4 or x \geq 4

∣ 2 x - 1 ∣ = x - 6

∣ 5 x - 2 ∣ = 3 x + 5

- 2 ∣ x + 3 ∣ = - 10

∣ 4 x - 1 ∣ - ∣ 2 x + 3 ∣ = 0

∣ 2 x - 1 ∣ = - 2

What is the answer to |x^2-16|=x^2-16 ?
The answer to |x^2-16|=x^2-16 is x<=-4\lor x>= 4
Solve for x: |x^2-16|=x^2-16
The solution is x<=-4\lor x>= 4