X-0.8x/x=1

Solution for X-0.8x/x=1 equation:

X-0.8X/X=1

We move all terms to the left:

X-0.8X/X-(1)=0


Domain of the equation: X!=0

X∈R


We multiply all the terms by the denominator


X*X-0.8X-1*X=0

We add all the numbers together, and all the variables

-1.8X+X*X=0

Wy multiply elements

X^2-1.8X=0

a = 1; b = -1.8; c = 0;
Δ = b2-4ac
Δ = -1.82-4·1·0
Δ = 3.24
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{-(-1.8)-\sqrt{3.24}}{2*1}=\frac{1.8-\sqrt{3.24}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.8)+\sqrt{3.24}}{2*1}=\frac{1.8+\sqrt{3.24}}{2}
$