Question

1/4xelevado 2+5x/4-6=0

Answer 1

E aí mano,

dada a equação do 2º grau

$\dfrac{1}{4} x^{2} + \dfrac{5}{4}x-6=0$

podemos fazer:

$\dfrac{1}{\not4}x^2+ \dfrac{5}{\not4}x- \dfrac{24}{\not4}=0\\\\ x^{2} +5x-24=0\\\\ \Delta=5^2-4*1*(-24)\\ \Delta=25+96\\ \Delta=121\\\\ x= \dfrac{-5\pm \sqrt{121} }{2*1}= \dfrac{-5\pm11}{2}\begin{cases}x'= \dfrac{-5+11}{2}= \dfrac{6}{2}=3\\\\ x''= \dfrac{-5-11}{2}= \dfrac{-16}{~~2}=-8 \end{cases} \\\\\\ \boxed{S=\{3,-8\}}$

Tenha ótimos estudos =))