Question

Resolve a equação
6X²-x-2=0

Answer 1

Resposta:

$Aplicando~a~f\'{o}rmula~de~Bhaskara~para~6x^{2}-x-2=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=6{;}~b=-1~e~c=-2\\\\\Delta=(b)^{2}-4(a)(c)=(-1)^{2}-4(6)(-2)=1-(-48)=49\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-1)-\sqrt{49}}{2(6)}=\frac{1-7}{12}=\frac{-6}{12}=-\frac{1}{2}\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-1)+\sqrt{49}}{2(6)}=\frac{1+7}{12}=\frac{8}{12}=\frac{2}{3}\\\\S=\{-\frac{1}{2},~\frac{2}{3}\}$