7x^2-13x-60=0

Solution for 7x^2-13x-60=0 equation:

7x^2-13x-60=0

a = 7; b = -13; c = -60;
Δ = b2-4ac
Δ = -132-4·7·(-60)
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-43}{2*7}=\frac{-30}{14}
=-2+1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+43}{2*7}=\frac{56}{14}
=4
$