Question

monta equação de 2 grau:
 6x²+x-1=0

Answer 1

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