16.19+0.11(x)=16.94-0.14/x

Solution for 16.19+0.11(x)=16.94-0.14/x equation:

16.19+0.11(x)=16.94-0.14/x

We move all terms to the left:

16.19+0.11(x)-(16.94-0.14/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

0.11x-(-0.14/x+16.94)+16.19=0

We get rid of parentheses

0.11x+0.14/x-16.94+16.19=0

We multiply all the terms by the denominator


(0.11x)*x-(16.94)*x+(16.19)*x+0.14=0

We add all the numbers together, and all the variables

(+0.11x)*x-(16.94)*x+(16.19)*x+0.14=0

We multiply parentheses

0x^2-16.94x+16.19x+0.14=0

We add all the numbers together, and all the variables

x^2-0.75x+0.14=0

a = 1; b = -0.75; c = +0.14;
Δ = b2-4ac
Δ = -0.752-4·1·0.14
Δ = 0.0024999999999999
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{-(-0.75)-\sqrt{0.0024999999999999}}{2*1}=\frac{0.75-\sqrt{0.0024999999999999}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.75)+\sqrt{0.0024999999999999}}{2*1}=\frac{0.75+\sqrt{0.0024999999999999}}{2}
$