5x^2-60x-300=0

Solution for 5x^2-60x-300=0 equation:

5x^2-60x-300=0

a = 5; b = -60; c = -300;
Δ = b2-4ac
Δ = -602-4·5·(-300)
Δ = 9600
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:

$\sqrt{\Delta}=\sqrt{9600}=\sqrt{1600*6}=\sqrt{1600}*\sqrt{6}=40\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-40\sqrt{6}}{2*5}=\frac{60-40\sqrt{6}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+40\sqrt{6}}{2*5}=\frac{60+40\sqrt{6}}{10}
$