x2+24x-60=0

Solution for x2+24x-60=0 equation:

x2+24x-60=0

We add all the numbers together, and all the variables

x^2+24x-60=0

a = 1; b = 24; c = -60;
Δ = b2-4ac
Δ = 242-4·1·(-60)
Δ = 816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{816}=\sqrt{16*51}=\sqrt{16}*\sqrt{51}=4\sqrt{51}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-4\sqrt{51}}{2*1}=\frac{-24-4\sqrt{51}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+4\sqrt{51}}{2*1}=\frac{-24+4\sqrt{51}}{2}
$