c^2=777

Solution for c^2=777 equation:

c^2=777

We move all terms to the left:

c^2-(777)=0

a = 1; b = 0; c = -777;
Δ = b2-4ac
Δ = 02-4·1·(-777)
Δ = 3108
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:

$\sqrt{\Delta}=\sqrt{3108}=\sqrt{4*777}=\sqrt{4}*\sqrt{777}=2\sqrt{777}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{777}}{2*1}=\frac{0-2\sqrt{777}}{2}
=-\frac{2\sqrt{777}}{2}
=-\sqrt{777}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{777}}{2*1}=\frac{0+2\sqrt{777}}{2}
=\frac{2\sqrt{777}}{2}
=\sqrt{777}
$