Question

Resolva a equação 3x²-2x-1/2=0

Answer 1

$3x^2-2x-\dfrac{1}{2}=0$

$6x^2-4x-1=0$

$\Delta=(-4)^2-4\cdot6\cdot(-1)=16+24=40$

$x=\dfrac{-(-4)\pm\sqrt{40}}{2\cdot6}=\dfrac{4\pm2\sqrt{10}}{12}=\dfrac{2\pm\sqrt{10}}{6}$

$x'=\dfrac{2+\sqrt{10}}{6}$ e $x"=\dfrac{2-\sqrt{10}}{6}$.