1.1/x=6,x

Solution for 1.1/x=6,x equation:

1.1/x=6.x

We move all terms to the left:

1.1/x-(6.x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

1.1/x-(+6.x)=0

We get rid of parentheses

1.1/x-6.x=0

We multiply all the terms by the denominator


-(6.x)*x+1.1=0

We add all the numbers together, and all the variables

-(+6.x)*x+1.1=0

We multiply parentheses

-6x^2+1.1=0

a = -6; b = 0; c = +1.1;
Δ = b2-4ac
Δ = 02-4·(-6)·1.1
Δ = 26.4
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{-(0)-\sqrt{26.4}}{2*-6}=\frac{0-\sqrt{26.4}}{-12}
=-\frac{\sqrt{}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{26.4}}{2*-6}=\frac{0+\sqrt{26.4}}{-12}
=\frac{\sqrt{}}{-12}
$