x2=3681

Solution for x2=3681 equation:

x2=3681

We move all terms to the left:

x2-(3681)=0

We add all the numbers together, and all the variables

x^2-3681=0

a = 1; b = 0; c = -3681;
Δ = b2-4ac
Δ = 02-4·1·(-3681)
Δ = 14724
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:

$\sqrt{\Delta}=\sqrt{14724}=\sqrt{36*409}=\sqrt{36}*\sqrt{409}=6\sqrt{409}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{409}}{2*1}=\frac{0-6\sqrt{409}}{2}
=-\frac{6\sqrt{409}}{2}
=-3\sqrt{409}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{409}}{2*1}=\frac{0+6\sqrt{409}}{2}
=\frac{6\sqrt{409}}{2}
=3\sqrt{409}
$