Question

solve the quadratic equation 5m^2+5m -1 =0 by formula method​

Answer 1

Answer:

$5 {m}^{2} + 5m - 1 = 0 \\ m = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ m = \frac{ - 5± \sqrt{ {5}^{2} - 4(5)( - 1)} }{2 \times 5} \\ m = \frac{ - 5± \sqrt{25 + 20} }{10} \\ m = \frac{ - 5± \sqrt{45} }{10} \\ m = \frac{ - 1±3 \sqrt{5} }{2} \\ \boxed{m = \underline{ \underline{\frac{ 1 + 3\sqrt{5} }{2}}} \: \: \: or \: \: \ \underline{ \underline{\frac{-1 + 3\sqrt{5}}{2}}}}$