1476=c^2

Solution for 1476=c^2 equation:

1476=c^2

We move all terms to the left:

1476-(c^2)=0

We add all the numbers together, and all the variables

-1c^2+1476=0

a = -1; b = 0; c = +1476;
Δ = b2-4ac
Δ = 02-4·(-1)·1476
Δ = 5904
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:

$\sqrt{\Delta}=\sqrt{5904}=\sqrt{144*41}=\sqrt{144}*\sqrt{41}=12\sqrt{41}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{41}}{2*-1}=\frac{0-12\sqrt{41}}{-2}
=-\frac{12\sqrt{41}}{-2}
=-\frac{6\sqrt{41}}{-1}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{41}}{2*-1}=\frac{0+12\sqrt{41}}{-2}
=\frac{12\sqrt{41}}{-2}
=\frac{6\sqrt{41}}{-1}
$