What is the answer to |x^2-1|=|x^2+1|+|x| ?

The answer to |x^2-1|=|x^2+1|+|x| is x=0

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|x^2-1|=|x^2+1|+|x|

x^{2} - 1 = x^{2} + 1 + ∣ x ∣

x = 0

Solution steps

x^{2} - 1 = x^{2} + 1 + ∣ x ∣

Find positive and negative intervals

x \leq - 1, - 1 < x < 0, 0 \leq x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 0

x = 0

x = \frac{1}{2} (x - 4) - (5 + x)

- 80 x + 5 = 0

- 15 = \frac{x}{- 0.5}

x^{2} - 7 x = 44

112 x^{2} + 42 x

What is the answer to |x^2-1|=|x^2+1|+|x| ?
The answer to |x^2-1|=|x^2+1|+|x| is x=0
Solve for x: |x^2-1|=|x^2+1|+|x|
The solution is x=0