38.4=x2

Solution for 38.4=x2 equation:

38.4=x2

We move all terms to the left:

38.4-(x2)=0

We add all the numbers together, and all the variables

-1x^2+38.4=0

a = -1; b = 0; c = +38.4;
Δ = b2-4ac
Δ = 02-4·(-1)·38.4
Δ = 153.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{153.6}}{2*-1}=\frac{0-\sqrt{153.6}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{153.6}}{2*-1}=\frac{0+\sqrt{153.6}}{-2}
=\frac{\sqrt{}}{-2}
$