30m2-91m-30=0

Solution for 30m2-91m-30=0 equation:

30m^2-91m-30=0

a = 30; b = -91; c = -30;
Δ = b2-4ac
Δ = -912-4·30·(-30)
Δ = 11881
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11881}=109$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-91)-109}{2*30}=\frac{-18}{60}
=-3/10
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-91)+109}{2*30}=\frac{200}{60}
=3+1/3
$