(11y/29y)+y=44

Solution for (11y/29y)+y=44 equation:

(11y/29y)+y=44

We move all terms to the left:

(11y/29y)+y-(44)=0


Domain of the equation: 29y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+11y/29y)+y-44=0

We add all the numbers together, and all the variables

y+(+11y/29y)-44=0

We get rid of parentheses

y+11y/29y-44=0

We multiply all the terms by the denominator


y*29y+11y-44*29y=0

We add all the numbers together, and all the variables

11y+y*29y-44*29y=0

Wy multiply elements

29y^2+11y-1276y=0

We add all the numbers together, and all the variables

29y^2-1265y=0

a = 29; b = -1265; c = 0;
Δ = b2-4ac
Δ = -12652-4·29·0
Δ = 1600225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600225}=1265$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1265)-1265}{2*29}=\frac{0}{58}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1265)+1265}{2*29}=\frac{2530}{58}
=43+18/29
$