2x-11x/5x+11=0

Solution for 2x-11x/5x+11=0 equation:

2x-11x/5x+11=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We multiply all the terms by the denominator


2x*5x-11x+11*5x=0

We add all the numbers together, and all the variables

-11x+2x*5x+11*5x=0

Wy multiply elements

10x^2-11x+55x=0

We add all the numbers together, and all the variables

10x^2+44x=0

a = 10; b = 44; c = 0;
Δ = b2-4ac
Δ = 442-4·10·0
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-44}{2*10}=\frac{-88}{20}
=-4+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+44}{2*10}=\frac{0}{20}
=0
$