y(y-9)=18(2)

Solution for y(y-9)=18(2) equation:

y(y-9)=18(2)

We move all terms to the left:

y(y-9)-(18(2))=0

determiningTheFunctionDomain
y(y-9)-182=0

We multiply parentheses

y^2-9y-182=0

a = 1; b = -9; c = -182;
Δ = b2-4ac
Δ = -92-4·1·(-182)
Δ = 809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-\sqrt{809}}{2*1}=\frac{9-\sqrt{809}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{809}}{2*1}=\frac{9+\sqrt{809}}{2}
$