11x-33x/x-3=x

Solution for 11x-33x/x-3=x equation:

11x-33x/x-3=x

We move all terms to the left:

11x-33x/x-3-(x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

10x-33x/x-3=0

We multiply all the terms by the denominator


10x*x-33x-3*x=0

We add all the numbers together, and all the variables

-36x+10x*x=0

Wy multiply elements

10x^2-36x=0

a = 10; b = -36; c = 0;
Δ = b2-4ac
Δ = -362-4·10·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-36}{2*10}=\frac{0}{20}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+36}{2*10}=\frac{72}{20}
=3+3/5
$