x^2=656

Solution for x^2=656 equation:

x^2=656

We move all terms to the left:

x^2-(656)=0

a = 1; b = 0; c = -656;
Δ = b2-4ac
Δ = 02-4·1·(-656)
Δ = 2624
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:

$\sqrt{\Delta}=\sqrt{2624}=\sqrt{64*41}=\sqrt{64}*\sqrt{41}=8\sqrt{41}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{41}}{2*1}=\frac{0-8\sqrt{41}}{2}
=-\frac{8\sqrt{41}}{2}
=-4\sqrt{41}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{41}}{2*1}=\frac{0+8\sqrt{41}}{2}
=\frac{8\sqrt{41}}{2}
=4\sqrt{41}
$