x+2/100X=100.000

Solution for x+2/100X=100.000 equation:

x+2/100x=100.000

We move all terms to the left:

x+2/100x-(100.000)=0


Domain of the equation: 100x!=0

x!=0/100

x!=0

x∈R


We add all the numbers together, and all the variables

x+2/100x-100=0

We multiply all the terms by the denominator


x*100x-100*100x+2=0

Wy multiply elements

100x^2-10000x+2=0

a = 100; b = -10000; c = +2;
Δ = b2-4ac
Δ = -100002-4·100·2
Δ = 99999200
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:

$\sqrt{\Delta}=\sqrt{99999200}=\sqrt{19600*5102}=\sqrt{19600}*\sqrt{5102}=140\sqrt{5102}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10000)-140\sqrt{5102}}{2*100}=\frac{10000-140\sqrt{5102}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10000)+140\sqrt{5102}}{2*100}=\frac{10000+140\sqrt{5102}}{200}
$