30x2+11x-30=0

Solution for 30x2+11x-30=0 equation:

30x^2+11x-30=0

a = 30; b = 11; c = -30;
Δ = b2-4ac
Δ = 112-4·30·(-30)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-61}{2*30}=\frac{-72}{60}
=-1+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+61}{2*30}=\frac{50}{60}
=5/6
$