5592=900c^2

Solution for 5592=900c^2 equation:

5592=900c^2

We move all terms to the left:

5592-(900c^2)=0

a = -900; b = 0; c = +5592;
Δ = b2-4ac
Δ = 02-4·(-900)·5592
Δ = 20131200
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:

$\sqrt{\Delta}=\sqrt{20131200}=\sqrt{14400*1398}=\sqrt{14400}*\sqrt{1398}=120\sqrt{1398}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{1398}}{2*-900}=\frac{0-120\sqrt{1398}}{-1800}
=-\frac{120\sqrt{1398}}{-1800}
=-\frac{\sqrt{1398}}{-15}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{1398}}{2*-900}=\frac{0+120\sqrt{1398}}{-1800}
=\frac{120\sqrt{1398}}{-1800}
=\frac{\sqrt{1398}}{-15}
$