100/x=100x

Solution for 100/x=100x equation:

100/x=100x

We move all terms to the left:

100/x-(100x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-100x+100/x=0

We multiply all the terms by the denominator


-100x*x+100=0

Wy multiply elements

-100x^2+100=0

a = -100; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-100)·100
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*-100}=\frac{-200}{-200}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*-100}=\frac{200}{-200}
=-1
$