|x + 1 - x^2| = 2(2x^2 - 1)
You asked:
Solve the equation \(\left\lvert x + 1 - {x}^{2}\right\rvert = 2 \cdot \left(2 \cdot {x}^{2} - 1\right)\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= \frac{1}{10} + \frac{\sqrt{61}}{10} \approx 0.88102497\\x &= - \frac{1}{6} - \frac{\sqrt{13}}{6} \approx -0.76759188\end{aligned}\]