24=400(x)2

Solution for 24=400(x)2 equation:

24=400(x)2

We move all terms to the left:

24-(400(x)2)=0

determiningTheFunctionDomain
-400x2+24=0

We add all the numbers together, and all the variables

-400x^2+24=0

a = -400; b = 0; c = +24;
Δ = b2-4ac
Δ = 02-4·(-400)·24
Δ = 38400
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:

$\sqrt{\Delta}=\sqrt{38400}=\sqrt{6400*6}=\sqrt{6400}*\sqrt{6}=80\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80\sqrt{6}}{2*-400}=\frac{0-80\sqrt{6}}{-800}
=-\frac{80\sqrt{6}}{-800}
=-\frac{\sqrt{6}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80\sqrt{6}}{2*-400}=\frac{0+80\sqrt{6}}{-800}
=\frac{80\sqrt{6}}{-800}
=\frac{\sqrt{6}}{-10}
$