Question

a maior raiz da equação -2x²+3x+5=0

Answer 1

$-2x^2+3x+5=0\\\Delta=b^2-4ac=[3]^2-4[-2][5]=9+40=49\\x=\frac{-b\pm\sqrt{\Delta}}{2a}\\x'=\frac{-3+\sqrt{49}}{-4}=\frac{-3+7}{-4}=\frac{4}{-4}=-1\\x''=\frac{-3-7}{-4}=\frac{10}{4}=\frac{5}{2}\\\\x''\ \textgreater \ x'\\\\\boxed{S=[\frac{5}{2}]}$