5c^2-50c+95=0

Solution for 5c^2-50c+95=0 equation:

5c^2-50c+95=0

a = 5; b = -50; c = +95;
Δ = b2-4ac
Δ = -502-4·5·95
Δ = 600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{600}=\sqrt{100*6}=\sqrt{100}*\sqrt{6}=10\sqrt{6}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-10\sqrt{6}}{2*5}=\frac{50-10\sqrt{6}}{10}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+10\sqrt{6}}{2*5}=\frac{50+10\sqrt{6}}{10}
$