2-500000/x^2=0

Solution for 2-500000/x^2=0 equation:

2-500000/x^2=0


Domain of the equation: x^2!=0

x^2!=0/

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


2*x^2-500000=0

We add all the numbers together, and all the variables

2x^2-500000=0

a = 2; b = 0; c = -500000;
Δ = b2-4ac
Δ = 02-4·2·(-500000)
Δ = 4000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4000000}=2000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2000}{2*2}=\frac{-2000}{4}
=-500
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2000}{2*2}=\frac{2000}{4}
=500
$