0=2-12100/x^2

Solution for 0=2-12100/x^2 equation:

0=2-12100/x^2

We move all terms to the left:

0-(2-12100/x^2)=0


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

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(2-12100/x^2)=0

We get rid of parentheses

12100/x^2-2=0

We multiply all the terms by the denominator


-2*x^2+12100=0

We add all the numbers together, and all the variables

-2x^2+12100=0

a = -2; b = 0; c = +12100;
Δ = b2-4ac
Δ = 02-4·(-2)·12100
Δ = 96800
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:

$\sqrt{\Delta}=\sqrt{96800}=\sqrt{48400*2}=\sqrt{48400}*\sqrt{2}=220\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-220\sqrt{2}}{2*-2}=\frac{0-220\sqrt{2}}{-4}
=-\frac{220\sqrt{2}}{-4}
=-\frac{55\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+220\sqrt{2}}{2*-2}=\frac{0+220\sqrt{2}}{-4}
=\frac{220\sqrt{2}}{-4}
=\frac{55\sqrt{2}}{-1}
$