882=x^2

Solution for 882=x^2 equation:

882=x^2

We move all terms to the left:

882-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+882=0

a = -1; b = 0; c = +882;
Δ = b2-4ac
Δ = 02-4·(-1)·882
Δ = 3528
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:

$\sqrt{\Delta}=\sqrt{3528}=\sqrt{1764*2}=\sqrt{1764}*\sqrt{2}=42\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42\sqrt{2}}{2*-1}=\frac{0-42\sqrt{2}}{-2}
=-\frac{42\sqrt{2}}{-2}
=-\frac{21\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42\sqrt{2}}{2*-1}=\frac{0+42\sqrt{2}}{-2}
=\frac{42\sqrt{2}}{-2}
=\frac{21\sqrt{2}}{-1}
$