Question

Encontre o conjunto verdade da equaçao -2.x=-4+3.x2 ?

Answer 1

$-2x=-4+3x^2 \\ 3x^2+2x-4=0 \\ \Delta=2^2-4.3.(-4)=4+48=52 \\ x=\frac{-2+-\sqrt{52}}{2.3}=\frac{-2+-2\sqrt{13}}{6}=\boxed{\frac{-2+-\sqrt{13}}{3}}$