x^2=163

Solution for x^2=163 equation:

x^2=163

We move all terms to the left:

x^2-(163)=0

a = 1; b = 0; c = -163;
Δ = b2-4ac
Δ = 02-4·1·(-163)
Δ = 652
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:

$\sqrt{\Delta}=\sqrt{652}=\sqrt{4*163}=\sqrt{4}*\sqrt{163}=2\sqrt{163}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{163}}{2*1}=\frac{0-2\sqrt{163}}{2}
=-\frac{2\sqrt{163}}{2}
=-\sqrt{163}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{163}}{2*1}=\frac{0+2\sqrt{163}}{2}
=\frac{2\sqrt{163}}{2}
=\sqrt{163}
$