1.9=2,000,000+x/1,000,000+x

Solution for 1.9=2,000,000+x/1,000,000+x equation:

1.9=2.000.000+x/1.000.000+x

We move all terms to the left:

1.9-(2.000.000+x/1.000.000+x)=0


Domain of the equation: 1.000.000+x)!=0

x∈R


We add all the numbers together, and all the variables

-(+x+x/1.000.000)+1.9=0

We get rid of parentheses

-x-x/1.000.000+1.9=0

We multiply all the terms by the denominator


-x*1.000.000-x+(1.9)*1.000.000=0

We add all the numbers together, and all the variables

-1x-x*1.000.000=0

Wy multiply elements

-1x^2-1x=0

a = -1; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-1)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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