Question

6×^2-×_2=0 equações segundo grau

Answer 1

6x²-x-2=0 ∆=1+48 ∆=49 x=(1±√49)/12 x=(1±7)/12 x=8/12 x=-6/12 x=-1/2 x=2/3 S={-1/2,2/3}

Answer 2

Resolução da questão pela fórmula de Bhaskara, veja:

$6x^{2}-x-2=0\\\\\\\ x= -b~\pm~\dfrac{ \sqrt{b^{2}-4~.~a~.~c}}{2~.~a}}\\\\\\ x= 1~\pm~\dfrac{ \sqrt{(-1)^{2}-4~.~6~.~(-2)}}{2~.~6}}\\\\\\ x= 1~\pm~\dfrac{ \sqrt{1+48}}{12}\\\\\\\ x= 1~\pm~\dfrac{ \sqrt{49}}{12}}\\\\\\ x = 1~\pm\dfrac{{7}}{12}}\\\\\\\\ x' =\dfrac{1+7}{12}}\\\\\\\ x' = \dfrac{8}{12}\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\boxed{x'=\dfrac{2}{3}.}}}}}}}}}}\\\\\\\\\\\\ x'' = \dfrac{1-7}{12}\\\\\\\\ x'' = \dfrac{-6}{12}~\therefore~x''=\large\boxed{\boxed{x''=\dfrac{-1}{2}.}}$

Espero que te ajude :).