c2-20c-276=0

Solution for c2-20c-276=0 equation:

c2-20c-276=0

We add all the numbers together, and all the variables

c^2-20c-276=0

a = 1; b = -20; c = -276;
Δ = b2-4ac
Δ = -202-4·1·(-276)
Δ = 1504
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:

$\sqrt{\Delta}=\sqrt{1504}=\sqrt{16*94}=\sqrt{16}*\sqrt{94}=4\sqrt{94}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-4\sqrt{94}}{2*1}=\frac{20-4\sqrt{94}}{2}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+4\sqrt{94}}{2*1}=\frac{20+4\sqrt{94}}{2}
$