X=0,8a/a+4,1

Solution for X=0,8a/a+4,1 equation:

X=0.8X/X+4.1

We move all terms to the left:

X-(0.8X/X+4.1)=0


Domain of the equation: X+4.1)!=0

X∈R


We get rid of parentheses

X-0.8X/X-4.1=0

We multiply all the terms by the denominator


X*X-0.8X-(4.1)*X=0

We add all the numbers together, and all the variables

-0.8X+X*X-(4.1)*X=0

We multiply parentheses

-0.8X+X*X-4.1X=0

Wy multiply elements

X^2-0.8X-4.1X=0

We add all the numbers together, and all the variables

X^2-4.9X=0

a = 1; b = -4.9; c = 0;
Δ = b2-4ac
Δ = -4.92-4·1·0
Δ = 24.01
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{-(-4.9)-\sqrt{24.01}}{2*1}=\frac{4.9-\sqrt{24.01}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.9)+\sqrt{24.01}}{2*1}=\frac{4.9+\sqrt{24.01}}{2}
$