5x^2-80x-9600=0

Solution for 5x^2-80x-9600=0 equation:

5x^2-80x-9600=0

a = 5; b = -80; c = -9600;
Δ = b2-4ac
Δ = -802-4·5·(-9600)
Δ = 198400
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:

$\sqrt{\Delta}=\sqrt{198400}=\sqrt{6400*31}=\sqrt{6400}*\sqrt{31}=80\sqrt{31}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-80\sqrt{31}}{2*5}=\frac{80-80\sqrt{31}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+80\sqrt{31}}{2*5}=\frac{80+80\sqrt{31}}{10}
$