5x^2-60x-10=0

Solution for 5x^2-60x-10=0 equation:

5x^2-60x-10=0

a = 5; b = -60; c = -10;
Δ = b2-4ac
Δ = -602-4·5·(-10)
Δ = 3800
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:

$\sqrt{\Delta}=\sqrt{3800}=\sqrt{100*38}=\sqrt{100}*\sqrt{38}=10\sqrt{38}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-10\sqrt{38}}{2*5}=\frac{60-10\sqrt{38}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+10\sqrt{38}}{2*5}=\frac{60+10\sqrt{38}}{10}
$