y=28-5y/y

Solution for y=28-5y/y equation:

y=28-5y/y

We move all terms to the left:

y-(28-5y/y)=0


Domain of the equation: y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

y-(-5y/y+28)=0

We get rid of parentheses

y+5y/y-28=0

We multiply all the terms by the denominator


y*y+5y-28*y=0

We add all the numbers together, and all the variables

-23y+y*y=0

Wy multiply elements

y^2-23y=0

a = 1; b = -23; c = 0;
Δ = b2-4ac
Δ = -232-4·1·0
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23)-23}{2*1}=\frac{0}{2}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+23}{2*1}=\frac{46}{2}
=23
$