30x^2-60x-775=0

Solution for 30x^2-60x-775=0 equation:

30x^2-60x-775=0

a = 30; b = -60; c = -775;
Δ = b2-4ac
Δ = -602-4·30·(-775)
Δ = 96600
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:

$\sqrt{\Delta}=\sqrt{96600}=\sqrt{100*966}=\sqrt{100}*\sqrt{966}=10\sqrt{966}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-10\sqrt{966}}{2*30}=\frac{60-10\sqrt{966}}{60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+10\sqrt{966}}{2*30}=\frac{60+10\sqrt{966}}{60}
$