2400=36,000/x2

Solution for 2400=36,000/x2 equation:

2400=36.000/x2

We move all terms to the left:

2400-(36.000/x2)=0


Domain of the equation: x2)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+36.000/x2)+2400=0

We get rid of parentheses

-36.000/x2+2400=0

We multiply all the terms by the denominator


2400*x2-36.000=0

We add all the numbers together, and all the variables

2400x^2-36=0

a = 2400; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·2400·(-36)
Δ = 345600
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:

$\sqrt{\Delta}=\sqrt{345600}=\sqrt{57600*6}=\sqrt{57600}*\sqrt{6}=240\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240\sqrt{6}}{2*2400}=\frac{0-240\sqrt{6}}{4800}
=-\frac{240\sqrt{6}}{4800}
=-\frac{\sqrt{6}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240\sqrt{6}}{2*2400}=\frac{0+240\sqrt{6}}{4800}
=\frac{240\sqrt{6}}{4800}
=\frac{\sqrt{6}}{20}
$