112=x^2

Solution for 112=x^2 equation:

112=x^2

We move all terms to the left:

112-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+112=0

a = -1; b = 0; c = +112;
Δ = b2-4ac
Δ = 02-4·(-1)·112
Δ = 448
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:

$\sqrt{\Delta}=\sqrt{448}=\sqrt{64*7}=\sqrt{64}*\sqrt{7}=8\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{7}}{2*-1}=\frac{0-8\sqrt{7}}{-2}
=-\frac{8\sqrt{7}}{-2}
=-\frac{4\sqrt{7}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{7}}{2*-1}=\frac{0+8\sqrt{7}}{-2}
=\frac{8\sqrt{7}}{-2}
=\frac{4\sqrt{7}}{-1}
$