x-(1.1x)(-1/x)=20.88

Solution for x-(1.1x)(-1/x)=20.88 equation:

x-(1.1x)(-1/x)=20.88

We move all terms to the left:

x-(1.1x)(-1/x)-(20.88)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(+1.1x)(-1/x)-(20.88)=0

We add all the numbers together, and all the variables

x-(+1.1x)(-1/x)-20.88=0

We multiply parentheses ..

-(-1x^2)+x-20.88=0

We get rid of parentheses

1x^2+x-20.88=0

We add all the numbers together, and all the variables

x^2+x-20.88=0

a = 1; b = 1; c = -20.88;
Δ = b2-4ac
Δ = 12-4·1·(-20.88)
Δ = 84.52
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)-\sqrt{84.52}}{2*1}=\frac{-1-\sqrt{84.52}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{84.52}}{2*1}=\frac{-1+\sqrt{84.52}}{2}
$