30a^2-59a-63=0

Solution for 30a^2-59a-63=0 equation:

30a^2-59a-63=0

a = 30; b = -59; c = -63;
Δ = b2-4ac
Δ = -592-4·30·(-63)
Δ = 11041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-\sqrt{11041}}{2*30}=\frac{59-\sqrt{11041}}{60}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+\sqrt{11041}}{2*30}=\frac{59+\sqrt{11041}}{60}
$