1.6/x-2=11x

Solution for 1.6/x-2=11x equation:

1.6/x-2=11x

We move all terms to the left:

1.6/x-2-(11x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-11x+1.6/x-2=0

We multiply all the terms by the denominator


-11x*x-2*x+1.6=0

We add all the numbers together, and all the variables

-2x-11x*x+1.6=0

Wy multiply elements

-11x^2-2x+1.6=0

a = -11; b = -2; c = +1.6;
Δ = b2-4ac
Δ = -22-4·(-11)·1.6
Δ = 74.4
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{-(-2)-\sqrt{74.4}}{2*-11}=\frac{2-\sqrt{74.4}}{-22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{74.4}}{2*-11}=\frac{2+\sqrt{74.4}}{-22}
$