(x)(5000/x)=5000

Solution for (x)(5000/x)=5000 equation:

(x)(5000/x)=5000

We move all terms to the left:

(x)(5000/x)-(5000)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x(+5000/x)-5000=0

We multiply parentheses

5000x^2-5000=0

a = 5000; b = 0; c = -5000;
Δ = b2-4ac
Δ = 02-4·5000·(-5000)
Δ = 100000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100000000}=10000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10000}{2*5000}=\frac{-10000}{10000}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10000}{2*5000}=\frac{10000}{10000}
=1
$