272=x^2

Solution for 272=x^2 equation:

272=x^2

We move all terms to the left:

272-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+272=0

a = -1; b = 0; c = +272;
Δ = b2-4ac
Δ = 02-4·(-1)·272
Δ = 1088
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:

$\sqrt{\Delta}=\sqrt{1088}=\sqrt{64*17}=\sqrt{64}*\sqrt{17}=8\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{17}}{2*-1}=\frac{0-8\sqrt{17}}{-2}
=-\frac{8\sqrt{17}}{-2}
=-\frac{4\sqrt{17}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{17}}{2*-1}=\frac{0+8\sqrt{17}}{-2}
=\frac{8\sqrt{17}}{-2}
=\frac{4\sqrt{17}}{-1}
$