What is the answer to |x^2-6|=6-x^2 ?

The answer to |x^2-6|=6-x^2 is -sqrt(6)<= x<= sqrt(6)

Solve for x: |x^2-6|=6-x^2

The solution is -sqrt(6)<= x<= sqrt(6)

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The solution is -sqrt(6)<= x<= sqrt(6)

x^{2} - 6 = 6 - x^{2}

- 6 \leq x \leq 6

Solution steps

x^{2} - 6 = 6 - x^{2}

Find positive and negative intervals

x \leq - 6, - 6 < x < 6, x \geq 6

Solve the inequality for each interval

x = - 6 or - 6 < x < 6 or x = 6

Merge Overlapping Intervals

- 6 \leq x \leq 6

∣ x - 2 ∣ = ∣ 3 x - 4 ∣

- 4 - ∣ x ∣ = - 9

∣ 2 x - 5 ∣ = 3 x - 5

5 - 3 ∣ 2 + 2 x ∣ = - 7

x + ∣ x ∣ + ∣ x + 2 ∣ = 0

What is the answer to |x^2-6|=6-x^2 ?
The answer to |x^2-6|=6-x^2 is -sqrt(6)<= x<= sqrt(6)
Solve for x: |x^2-6|=6-x^2
The solution is -sqrt(6)<= x<= sqrt(6)