250=23040/x^2

Solution for 250=23040/x^2 equation:

250=23040/x^2

We move all terms to the left:

250-(23040/x^2)=0


Domain of the equation: x^2)!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

-23040/x^2+250=0

We multiply all the terms by the denominator


250*x^2-23040=0

We add all the numbers together, and all the variables

250x^2-23040=0

a = 250; b = 0; c = -23040;
Δ = b2-4ac
Δ = 02-4·250·(-23040)
Δ = 23040000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23040000}=4800$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4800}{2*250}=\frac{-4800}{500}
=-9+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4800}{2*250}=\frac{4800}{500}
=9+3/5
$