Let $m$ be a constant not equal to $0$ or $1.$ Then the graph of \[x^2 + my^2 = 4\]is a conic section with two foci. Find all values of $m$
Ahh I accidentally missed part of the question, here is the other part,
Find all values of $m$ such that the foci both lie on the circle $x^2+y^2=16$
By using the distance formula, the only possible value of m is 1/2.