1352=x^2

Solution for 1352=x^2 equation:

1352=x^2

We move all terms to the left:

1352-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+1352=0

a = -1; b = 0; c = +1352;
Δ = b2-4ac
Δ = 02-4·(-1)·1352
Δ = 5408
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:

$\sqrt{\Delta}=\sqrt{5408}=\sqrt{2704*2}=\sqrt{2704}*\sqrt{2}=52\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-52\sqrt{2}}{2*-1}=\frac{0-52\sqrt{2}}{-2}
=-\frac{52\sqrt{2}}{-2}
=-\frac{26\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+52\sqrt{2}}{2*-1}=\frac{0+52\sqrt{2}}{-2}
=\frac{52\sqrt{2}}{-2}
=\frac{26\sqrt{2}}{-1}
$