Question

The quadratic equation m2 - 4 + 5m has roots​

Answer 1

$m^2+5m-4=0\\a=1\\b=5\\c=-4\\D=b^2-4ac\\D=(5)^2-4*1*-4\\D=25+16=41\\\\x=\frac{-b+\sqrt{D} }{2a} \\and\\x=\frac{-b-\sqrt{D} }{2a}\\\\x=\frac{-5+\sqrt{41} }{2}\\ and\\\frac{-5-\sqrt{41} }{2}$

The quadratic equation $m^2+5m-4$ has roots $\frac{-5+\sqrt{41} }{2}$ and $\frac{-5-\sqrt{41} }{2}$ .