4724=x2

Solution for 4724=x2 equation:

4724=x2

We move all terms to the left:

4724-(x2)=0

We add all the numbers together, and all the variables

-1x^2+4724=0

a = -1; b = 0; c = +4724;
Δ = b2-4ac
Δ = 02-4·(-1)·4724
Δ = 18896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{18896}=\sqrt{16*1181}=\sqrt{16}*\sqrt{1181}=4\sqrt{1181}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{1181}}{2*-1}=\frac{0-4\sqrt{1181}}{-2}
=-\frac{4\sqrt{1181}}{-2}
=-\frac{2\sqrt{1181}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{1181}}{2*-1}=\frac{0+4\sqrt{1181}}{-2}
=\frac{4\sqrt{1181}}{-2}
=\frac{2\sqrt{1181}}{-1}
$