28/y=11-y

Solution for 28/y=11-y equation:

28/y=11-y

We move all terms to the left:

28/y-(11-y)=0


Domain of the equation: y!=0

y∈R


We add all the numbers together, and all the variables

28/y-(-1y+11)=0

We get rid of parentheses

28/y+1y-11=0

We multiply all the terms by the denominator


1y*y-11*y+28=0

We add all the numbers together, and all the variables

-11y+1y*y+28=0

Wy multiply elements

y^2-11y+28=0

a = 1; b = -11; c = +28;
Δ = b2-4ac
Δ = -112-4·1·28
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-3}{2*1}=\frac{8}{2}
=4
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+3}{2*1}=\frac{14}{2}
=7
$