c^2=1753

Solution for c^2=1753 equation:

c^2=1753

We move all terms to the left:

c^2-(1753)=0

a = 1; b = 0; c = -1753;
Δ = b2-4ac
Δ = 02-4·1·(-1753)
Δ = 7012
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:

$\sqrt{\Delta}=\sqrt{7012}=\sqrt{4*1753}=\sqrt{4}*\sqrt{1753}=2\sqrt{1753}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1753}}{2*1}=\frac{0-2\sqrt{1753}}{2}
=-\frac{2\sqrt{1753}}{2}
=-\sqrt{1753}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1753}}{2*1}=\frac{0+2\sqrt{1753}}{2}
=\frac{2\sqrt{1753}}{2}
=\sqrt{1753}
$