11/3x-1x=0

Solution for 11/3x-1x=0 equation:

11/3x-1x=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+11/3x=0

We multiply all the terms by the denominator


-1x*3x+11=0

Wy multiply elements

-3x^2+11=0

a = -3; b = 0; c = +11;
Δ = b2-4ac
Δ = 02-4·(-3)·11
Δ = 132
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{132}=\sqrt{4*33}=\sqrt{4}*\sqrt{33}=2\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{33}}{2*-3}=\frac{0-2\sqrt{33}}{-6}
=-\frac{2\sqrt{33}}{-6}
=-\frac{\sqrt{33}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{33}}{2*-3}=\frac{0+2\sqrt{33}}{-6}
=\frac{2\sqrt{33}}{-6}
=\frac{\sqrt{33}}{-3}
$