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MATH / Let m be a constant not equal to 0 or 1. Then the graph of x²+my²=4is a conic section with two foci. Find all values of m such that the foci both lie on the circle x²+y²=16. Enter …

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problem

Let mm be a constant not equal to 00 or 1.1. Then the graph of x2+my2=4x^2 + my^2 = 4is a conic section with two foci. Find all values of mm such that the foci both lie on the circle x2+y2=16.x^2+y^2=16. Enter all possible values of m,m, separated by commas.
Plain-text mathematical notation (without MathML)
Let m be a constant not equal to 0 or 1. Then the graph of x²+my²=4is a conic section with two foci. Find all values of m such that the foci both lie on the circle x²+y²=16.

Enter all possible values of m, separated by commas.
Original LaTeX notation
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 $m$ such that the foci both lie on the circle $x^2+y^2=16.$

Enter all possible values of $m,$ separated by commas.

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
15159f6f-81da-5a63-84d8-77513d1316d5
task_key
intermediate~5falgebra--test--15159f6f-81da-5a63-84d8-77513d1316d5
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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