x(0,01+x)/0,01-x=0,012

Solution for x(0,01+x)/0,01-x=0,012 equation:

x(0.01+x)/0.01-x=0.012

We move all terms to the left:

x(0.01+x)/0.01-x-(0.012)=0

We add all the numbers together, and all the variables

x(x+0.01)/0.01-x-(0.012)=0

We add all the numbers together, and all the variables

-1x+x(x+0.01)/0.01-0.012=0

We multiply all the terms by the denominator


-1x*0.01+x(x+0.01)-(0.012)*0.01=0

We add all the numbers together, and all the variables

-1x*0.01+x(x+0.01)-0.00012=0

We multiply parentheses

x^2-1x*0.01+0.01x-0.00012=0

Wy multiply elements

x^2-0.01x+0.01x-0.00012=0

We add all the numbers together, and all the variables

x^2-0.00012=0

a = 1; b = 0; c = -0.00012;
Δ = b2-4ac
Δ = 02-4·1·(-0.00012)
Δ = 0.00048
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{0.00048}}{2*1}=\frac{0-\sqrt{0.00048}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.00048}}{2*1}=\frac{0+\sqrt{0.00048}}{2}
=\frac{\sqrt{}}{2}
$