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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 $m$ 

 Mar 5, 2021
 #1
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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 $x^2+y^2=16$

 Mar 5, 2021
 #2
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By using the distance formula, the only possible value of m is 1/2.

 Mar 5, 2021

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