(108/y)(y)=108

Solution for (108/y)(y)=108 equation:

(108/y)(y)=108

We move all terms to the left:

(108/y)(y)-(108)=0


Domain of the equation: y)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+108/y)y-108=0

We multiply parentheses

108y^2-108=0

a = 108; b = 0; c = -108;
Δ = b2-4ac
Δ = 02-4·108·(-108)
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-216}{2*108}=\frac{-216}{216}
=-1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+216}{2*108}=\frac{216}{216}
=1
$