6n^2-35n-36=0

Solution for 6n^2-35n-36=0 equation:

6n^2-35n-36=0

a = 6; b = -35; c = -36;
Δ = b2-4ac
Δ = -352-4·6·(-36)
Δ = 2089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-\sqrt{2089}}{2*6}=\frac{35-\sqrt{2089}}{12}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+\sqrt{2089}}{2*6}=\frac{35+\sqrt{2089}}{12}
$