If $(x, y)$ satisfies the simultaneous equations \begin{align*} 3xy - 4x^2 - 36y + 48x & = 0, \\ x^2 - 2y^2 & = 16, \end{align*}where $x$ and $y$ may be complex numbers, determine all possible values of $y^2$.

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers

3 is greater then both of those numbers