x^2=32805

Solution for x^2=32805 equation:

x^2=32805

We move all terms to the left:

x^2-(32805)=0

a = 1; b = 0; c = -32805;
Δ = b2-4ac
Δ = 02-4·1·(-32805)
Δ = 131220
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:

$\sqrt{\Delta}=\sqrt{131220}=\sqrt{26244*5}=\sqrt{26244}*\sqrt{5}=162\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-162\sqrt{5}}{2*1}=\frac{0-162\sqrt{5}}{2}
=-\frac{162\sqrt{5}}{2}
=-81\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+162\sqrt{5}}{2*1}=\frac{0+162\sqrt{5}}{2}
=\frac{162\sqrt{5}}{2}
=81\sqrt{5}
$