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MATH / For how many integer values of k do the graphs of x²+y²=k² and xy=k not intersect?

Problem

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problem

For how many integer values of kk do the graphs of x2+y2=k2x^2+y^2=k^2 and xy=kxy = k not intersect?
Plain-text mathematical notation (without MathML)
For how many integer values of k do the graphs of x²+y²=k² and xy=k not intersect?
Original LaTeX notation
For how many integer values of $k$ do the graphs of $x^2+y^2=k^2$ and $xy = k$ not intersect?

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
c3a42713-9e27-51dd-91d0-439c7d562ce7
task_key
intermediate~5falgebra--test--c3a42713-9e27-51dd-91d0-439c7d562ce7
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import