0.1556=20-x+0.80/x

Solution for 0.1556=20-x+0.80/x equation:

0.1556=20-x+0.80/x

We move all terms to the left:

0.1556-(20-x+0.80/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(-1x+0.80/x+20)+0.1556=0

We get rid of parentheses

1x-0.80/x-20+0.1556=0

We multiply all the terms by the denominator


1x*x-20*x+(0.1556)*x-0.80=0

We add all the numbers together, and all the variables

-20x+1x*x+(0.1556)*x-0.8=0

We multiply parentheses

-20x+1x*x+0.1556x-0.8=0

Wy multiply elements

x^2-20x+0.1556x-0.8=0

We add all the numbers together, and all the variables

x^2-19.8444x-0.8=0

a = 1; b = -19.8444; c = -0.8;
Δ = b2-4ac
Δ = -19.84442-4·1·(-0.8)
Δ = 397.00021136
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{-(-19.8444)-\sqrt{397.00021136}}{2*1}=\frac{19.8444-\sqrt{397.00021136}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19.8444)+\sqrt{397.00021136}}{2*1}=\frac{19.8444+\sqrt{397.00021136}}{2}
$