c^2=2754

Solution for c^2=2754 equation:

c^2=2754

We move all terms to the left:

c^2-(2754)=0

a = 1; b = 0; c = -2754;
Δ = b2-4ac
Δ = 02-4·1·(-2754)
Δ = 11016
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:

$\sqrt{\Delta}=\sqrt{11016}=\sqrt{324*34}=\sqrt{324}*\sqrt{34}=18\sqrt{34}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{34}}{2*1}=\frac{0-18\sqrt{34}}{2}
=-\frac{18\sqrt{34}}{2}
=-9\sqrt{34}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{34}}{2*1}=\frac{0+18\sqrt{34}}{2}
=\frac{18\sqrt{34}}{2}
=9\sqrt{34}
$