X2-60x-8000=0

Solution for X2-60x-8000=0 equation:

X2-60X-8000=0

We add all the numbers together, and all the variables

X^2-60X-8000=0

a = 1; b = -60; c = -8000;
Δ = b2-4ac
Δ = -602-4·1·(-8000)
Δ = 35600
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:

$\sqrt{\Delta}=\sqrt{35600}=\sqrt{400*89}=\sqrt{400}*\sqrt{89}=20\sqrt{89}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-20\sqrt{89}}{2*1}=\frac{60-20\sqrt{89}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+20\sqrt{89}}{2*1}=\frac{60+20\sqrt{89}}{2}
$