Question

6x²+x-1=0 como responder resposta

Answer 1

Equação do 2 grau
X= -1 +- /1+24
12
X= -1 +- 5
12
X' = -1+5/12 4/12 1/3

X'' = -1-5/12 -6/12 -1/2

Answer 2

Equação de 2° grau. Você pode usar a fórmula de Bhaskara para resolver:

$6 x^{2} +x-1=0\\\\ a=6;\ b=1;\ c=-1\\\\\\ \Delta=b^2-4ac\to \Delta=1^2-4.6.(-1)\to \Delta=1+24\to \boxed{\Delta=25}\\\\ x' \neq x''\\\\\\ x= \dfrac{-b\pm \sqrt{\Delta} }{2a} \to x= \dfrac{-1\pm \sqrt{25} }{2.6} \to x= \dfrac{-1\pm 5}{12} \to \\\\\\ x'= \dfrac{-1+ 5}{12} \to x'= \dfrac{4}{12} \to \boxed{x'= \dfrac{1}{3}}\\\\\\ x''= \dfrac{-1- 5}{12} \to x''= \dfrac{-6}{12} \to \boxed{x''= -\dfrac{1}{2}}\\\\\\ \boxed{\boxed{S=\{- \frac{1}{2} ; \frac{1}{3} \}}}$