30x^2-61x-30=0

Solution for 30x^2-61x-30=0 equation:

30x^2-61x-30=0

a = 30; b = -61; c = -30;
Δ = b2-4ac
Δ = -612-4·30·(-30)
Δ = 7321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-61)-\sqrt{7321}}{2*30}=\frac{61-\sqrt{7321}}{60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+\sqrt{7321}}{2*30}=\frac{61+\sqrt{7321}}{60}
$