13x^2-51x-60=0

Solution for 13x^2-51x-60=0 equation:

13x^2-51x-60=0

a = 13; b = -51; c = -60;
Δ = b2-4ac
Δ = -512-4·13·(-60)
Δ = 5721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-51)-\sqrt{5721}}{2*13}=\frac{51-\sqrt{5721}}{26}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-51)+\sqrt{5721}}{2*13}=\frac{51+\sqrt{5721}}{26}
$