100x/x^2=200

Solution for 100x/x^2=200 equation:

100x/x^2=200

We move all terms to the left:

100x/x^2-(200)=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


100x-200*x^2=0

We add all the numbers together, and all the variables

-200x^2+100x=0

a = -200; b = 100; c = 0;
Δ = b2-4ac
Δ = 1002-4·(-200)·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-100}{2*-200}=\frac{-200}{-400}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+100}{2*-200}=\frac{0}{-400}
=0
$