|x| = x^2 - 1

find x

asked by guest
on Apr 07, 2025 at 3:56 am



You asked:

Solve the equation ∣x∣=x2−1\left\lvert x\right\rvert = {x}^{2} - 1 for the unknown xx.

MathBot Answer:

The 2 solutions to the equation are: x=12+52≈1.618034x=−12−52≈−1.618034\begin{aligned}x &= \frac{1}{2} + \frac{\sqrt{5}}{2} \approx 1.618034\\x &= - \frac{1}{2} - \frac{\sqrt{5}}{2} \approx -1.618034\end{aligned}

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