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MATH / Find all values of k so that the graphs of x²+y²=4+12x+6y and x²+y²=k+4x+12y intersect. Enter your answer using interval notation.

Problem

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problem

Find all values of kk so that the graphs of x2+y2=4+12x+6yx^2 + y^2 = 4 + 12x + 6y and x2+y2=k+4x+12yx^2 + y^2 = k + 4x + 12y intersect. Enter your answer using interval notation.
Plain-text mathematical notation (without MathML)
Find all values of k so that the graphs of x²+y²=4+12x+6y and x²+y²=k+4x+12y intersect.  Enter your answer using interval notation.
Original LaTeX notation
Find all values of $k$ so that the graphs of $x^2 + y^2 = 4 + 12x + 6y$ and $x^2 + y^2 = k + 4x + 12y$ intersect.  Enter your answer using interval notation.

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
7ba34d88-dae2-5ebd-a2b1-bc271caa59ba
task_key
intermediate~5falgebra--test--7ba34d88-dae2-5ebd-a2b1-bc271caa59ba
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import