13/y-2/11y=-3

Solution for 13/y-2/11y=-3 equation:

13/y-2/11y=-3

We move all terms to the left:

13/y-2/11y-(-3)=0


Domain of the equation: y!=0

y∈R



Domain of the equation: 11y!=0

y!=0/11

y!=0

y∈R


We add all the numbers together, and all the variables

13/y-2/11y+3=0

We calculate fractions


143y/11y^2+(-2y)/11y^2+3=0

We multiply all the terms by the denominator


143y+(-2y)+3*11y^2=0

Wy multiply elements

33y^2+143y+(-2y)=0

We get rid of parentheses

33y^2+143y-2y=0

We add all the numbers together, and all the variables

33y^2+141y=0

a = 33; b = 141; c = 0;
Δ = b2-4ac
Δ = 1412-4·33·0
Δ = 19881
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19881}=141$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(141)-141}{2*33}=\frac{-282}{66}
=-4+3/11
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(141)+141}{2*33}=\frac{0}{66}
=0
$