2400=4x^2/x

Solution for 2400=4x^2/x equation:

2400=4x^2/x

We move all terms to the left:

2400-(4x^2/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

-4x^2/x+2400=0

We multiply all the terms by the denominator


-4x^2+2400*x=0

We add all the numbers together, and all the variables

-4x^2+2400x=0

a = -4; b = 2400; c = 0;
Δ = b2-4ac
Δ = 24002-4·(-4)·0
Δ = 5760000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5760000}=2400$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2400)-2400}{2*-4}=\frac{-4800}{-8}
=+600
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2400)+2400}{2*-4}=\frac{0}{-8}
=0
$