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

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

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|x^2-4|=x^2-4

x^{2} - 4 = x^{2} - 4

x \leq - 2 or x \geq 2

Solution steps

x^{2} - 4 = x^{2} - 4

Find positive and negative intervals

x \leq - 2, - 2 < x < 2, x \geq 2

Solve the inequality for each interval

x \leq - 2 or No Solution or x \geq 2

Merge Overlapping Intervals

x \leq - 2 or x \geq 2

∣ x + 1 ∣ + 3 ∣ x - 2 ∣ + 5 ∣ x - 4 ∣ = 20

y, x^{2} + (y - ∣ x ∣)^{2} = 1

\frac{∣ x ∣ + 2}{5} = \frac{5}{6}

∣ x ∣ + 2 = 3

2 ∣ x ∣ + ∣ x - 1 ∣ = 5

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