y/y2-81=0

Solution for y/y2-81=0 equation:

y/y2-81=0


Domain of the equation: y2!=0

y^2!=0/

y^2!=√0

y!=0

y∈R


We multiply all the terms by the denominator


y-81*y2=0

We add all the numbers together, and all the variables

-81y^2+y=0

a = -81; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-81)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-81}=\frac{-2}{-162}
=1/81
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-81}=\frac{0}{-162}
=0
$