y=225/9y

Solution for y=225/9y equation:

y=225/9y

We move all terms to the left:

y-(225/9y)=0


Domain of the equation: 9y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

y-(+225/9y)=0

We get rid of parentheses

y-225/9y=0

We multiply all the terms by the denominator


y*9y-225=0

Wy multiply elements

9y^2-225=0

a = 9; b = 0; c = -225;
Δ = b2-4ac
Δ = 02-4·9·(-225)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90}{2*9}=\frac{-90}{18}
=-5
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90}{2*9}=\frac{90}{18}
=5
$