5n^2-13n-60=0

Solution for 5n^2-13n-60=0 equation:

5n^2-13n-60=0

a = 5; b = -13; c = -60;
Δ = b2-4ac
Δ = -132-4·5·(-60)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-37}{2*5}=\frac{-24}{10}
=-2+2/5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+37}{2*5}=\frac{50}{10}
=5
$