Question

Rezolvați ecuația:
2x^2-1=1-2x^2

Answer 1

$2x {}^{2} - 1 = 1 - 2x {}^{2} = > 2x {}^{2} + 2x {}^{2} = 1 + 1 = > 4x {}^{2} = 2 = > x {}^{2} = \frac{1}{2} = > x = \frac{ \sqrt{2} }{2} . \: \: \: \: x = - \frac{ \sqrt{2} }{2} .$