Question

Rezolvă....2X^2-1=1-2X^2​

Answer 1

$2x {}^{2} - 1 = 1 - 2x {}^{2} \\ 4x {}^{2} = 2 \implies 2x {}^{2} = 1 \\ x {}^{2} = \frac{1}{2} \implies \bold{x _{1} = \frac{\sqrt{2}}{2} \c{} \: x _{2} = - \frac{\sqrt{2}}{2} }$