0=1250/x^2-50

Solution for 0=1250/x^2-50 equation:

0=1250/x^2-50

We move all terms to the left:

0-(1250/x^2-50)=0


Domain of the equation: x^2-50)!=0

x∈R


We add all the numbers together, and all the variables

-(1250/x^2-50)=0

We get rid of parentheses

-1250/x^2+50=0

We multiply all the terms by the denominator


50*x^2-1250=0

We add all the numbers together, and all the variables

50x^2-1250=0

a = 50; b = 0; c = -1250;
Δ = b2-4ac
Δ = 02-4·50·(-1250)
Δ = 250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{250000}=500$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-500}{2*50}=\frac{-500}{100}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+500}{2*50}=\frac{500}{100}
=5
$