x^2=1808

Solution for x^2=1808 equation:

x^2=1808

We move all terms to the left:

x^2-(1808)=0

a = 1; b = 0; c = -1808;
Δ = b2-4ac
Δ = 02-4·1·(-1808)
Δ = 7232
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:

$\sqrt{\Delta}=\sqrt{7232}=\sqrt{64*113}=\sqrt{64}*\sqrt{113}=8\sqrt{113}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{113}}{2*1}=\frac{0-8\sqrt{113}}{2}
=-\frac{8\sqrt{113}}{2}
=-4\sqrt{113}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{113}}{2*1}=\frac{0+8\sqrt{113}}{2}
=\frac{8\sqrt{113}}{2}
=4\sqrt{113}
$