5x^2-80x-605=0

Solution for 5x^2-80x-605=0 equation:

5x^2-80x-605=0

a = 5; b = -80; c = -605;
Δ = b2-4ac
Δ = -802-4·5·(-605)
Δ = 18500
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:

$\sqrt{\Delta}=\sqrt{18500}=\sqrt{100*185}=\sqrt{100}*\sqrt{185}=10\sqrt{185}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-10\sqrt{185}}{2*5}=\frac{80-10\sqrt{185}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+10\sqrt{185}}{2*5}=\frac{80+10\sqrt{185}}{10}
$