2929=c2

Solution for 2929=c2 equation:

2929=c2

We move all terms to the left:

2929-(c2)=0

We add all the numbers together, and all the variables

-1c^2+2929=0

a = -1; b = 0; c = +2929;
Δ = b2-4ac
Δ = 02-4·(-1)·2929
Δ = 11716
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:

$\sqrt{\Delta}=\sqrt{11716}=\sqrt{4*2929}=\sqrt{4}*\sqrt{2929}=2\sqrt{2929}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{2929}}{2*-1}=\frac{0-2\sqrt{2929}}{-2}
=-\frac{2\sqrt{2929}}{-2}
=-\frac{\sqrt{2929}}{-1}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{2929}}{2*-1}=\frac{0+2\sqrt{2929}}{-2}
=\frac{2\sqrt{2929}}{-2}
=\frac{\sqrt{2929}}{-1}
$