Question

2m²-7m+6=0 equação do segundo grau

Answer 1

$\large\boxed{\begin{array}{l} \rm \: 2m {}^{2} - 7m + 6 = 0 \\ \\ \rm \: \Rightarrow \begin{cases} \rm \: a = 2 \\ \rm \: b = - 7 \\ \rm \: c = 6\end{cases} \\ \\ \rm\Delta = b {}^{2} - 4ac \\ \Delta = (- 7 ) {}^{2} - 4 \: . \: 2 \: . \: 6 \\ \Delta = 49 - 48 \\ \Delta = 1 \\ \\ \rm \: m = \dfrac{ - b \pm \sqrt{\Delta} }{2a} \\ \\ \rm \: m = \dfrac{ - ( - 7) \pm \sqrt{1} }{2 \: . \: 2} \\ \\ \rm \: m = \dfrac{7 \pm1}{4} \begin{cases} \rm \: m_1 = \dfrac{7 + 1}{4} = \dfrac{8}{4} = \boxed{2} \\ \\ \rm \: m_2 = \dfrac{7 - 1}{4} = \dfrac{6}{4} = \boxed{ \dfrac{3}{2} } \end{cases} \end{array}}$