5-2500/x^2=0

Solution for 5-2500/x^2=0 equation:

5-2500/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


5*x^2-2500=0

We add all the numbers together, and all the variables

5x^2-2500=0

a = 5; b = 0; c = -2500;
Δ = b2-4ac
Δ = 02-4·5·(-2500)
Δ = 50000
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:

$\sqrt{\Delta}=\sqrt{50000}=\sqrt{10000*5}=\sqrt{10000}*\sqrt{5}=100\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{5}}{2*5}=\frac{0-100\sqrt{5}}{10}
=-\frac{100\sqrt{5}}{10}
=-10\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{5}}{2*5}=\frac{0+100\sqrt{5}}{10}
=\frac{100\sqrt{5}}{10}
=10\sqrt{5}
$