Question

Solve 3x 2 + 2 = 11 - x 2

Answer 1

$3x^2 + 2 = 11 - x^2\\\\ 3x^2+x^2=11-2\\\\ 4x^2=9\\\\(2x)^2=3^2\\\\ |2x|=3\\\\ 2x=3 \ or \ 2x=-3\\\\ x=\frac{3}{2} \ or \ x=-\frac{3}{2}$