18.75=x^2

Solution for 18.75=x^2 equation:

18.75=x^2

We move all terms to the left:

18.75-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+18.75=0

a = -1; b = 0; c = +18.75;
Δ = b2-4ac
Δ = 02-4·(-1)·18.75
Δ = 75
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:

$\sqrt{\Delta}=\sqrt{75}=\sqrt{25*3}=\sqrt{25}*\sqrt{3}=5\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-5\sqrt{3}}{2*-1}=\frac{0-5\sqrt{3}}{-2}
=-\frac{5\sqrt{3}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+5\sqrt{3}}{2*-1}=\frac{0+5\sqrt{3}}{-2}
=\frac{5\sqrt{3}}{-2}
$