Question

calcule "m" de modo que a equação 2x²+3x+(1-m)=0 admita duas raízes reais e distintas.

Answer 1

$\Delta \ \textgreater \ 0 \\ b^2 - 4ac \ \textgreater \ 0 \\ (3)^2 - 4(2)(1 -m) \ \textgreater \ 0 \\ 9 - 8(1 - m) \ \textgreater \ 0 \\ 9 - 8 + 8m \ \textgreater \ 0 \\ 1 + 8m \ \textgreater \ 0 \\ 8m \ \textgreater \ -1 \\ \\ m \ \textgreater \ -\frac{1}{8}$