x^2-365=0

Solution for x^2-365=0 equation:

x^2-365=0

a = 1; b = 0; c = -365;
Δ = b2-4ac
Δ = 02-4·1·(-365)
Δ = 1460
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:

$\sqrt{\Delta}=\sqrt{1460}=\sqrt{4*365}=\sqrt{4}*\sqrt{365}=2\sqrt{365}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{365}}{2*1}=\frac{0-2\sqrt{365}}{2}
=-\frac{2\sqrt{365}}{2}
=-\sqrt{365}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{365}}{2*1}=\frac{0+2\sqrt{365}}{2}
=\frac{2\sqrt{365}}{2}
=\sqrt{365}
$