y-5y/y=6

Solution for y-5y/y=6 equation:

y-5y/y=6

We move all terms to the left:

y-5y/y-(6)=0


Domain of the equation: y!=0

y∈R


We multiply all the terms by the denominator


y*y-5y-6*y=0

We add all the numbers together, and all the variables

-11y+y*y=0

Wy multiply elements

y^2-11y=0

a = 1; b = -11; c = 0;
Δ = b2-4ac
Δ = -112-4·1·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-11}{2*1}=\frac{0}{2}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+11}{2*1}=\frac{22}{2}
=11
$