x2+26x-60=0

Solution for x2+26x-60=0 equation:

x2+26x-60=0

We add all the numbers together, and all the variables

x^2+26x-60=0

a = 1; b = 26; c = -60;
Δ = b2-4ac
Δ = 262-4·1·(-60)
Δ = 916
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:

$\sqrt{\Delta}=\sqrt{916}=\sqrt{4*229}=\sqrt{4}*\sqrt{229}=2\sqrt{229}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-2\sqrt{229}}{2*1}=\frac{-26-2\sqrt{229}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+2\sqrt{229}}{2*1}=\frac{-26+2\sqrt{229}}{2}
$