220/10x-220/11x=1

Solution for 220/10x-220/11x=1 equation:

220/10x-220/11x=1

We move all terms to the left:

220/10x-220/11x-(1)=0


Domain of the equation: 10x!=0

x!=0/10

x!=0

x∈R



Domain of the equation: 11x!=0

x!=0/11

x!=0

x∈R


We calculate fractions


2420x/110x^2+(-2200x)/110x^2-1=0

We multiply all the terms by the denominator


2420x+(-2200x)-1*110x^2=0

Wy multiply elements

-110x^2+2420x+(-2200x)=0

We get rid of parentheses

-110x^2+2420x-2200x=0

We add all the numbers together, and all the variables

-110x^2+220x=0

a = -110; b = 220; c = 0;
Δ = b2-4ac
Δ = 2202-4·(-110)·0
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(220)-220}{2*-110}=\frac{-440}{-220}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(220)+220}{2*-110}=\frac{0}{-220}
=0
$