benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / The graphs of x²+y²+6x−24y+72=0 and x²−y²+6x+16y−46=0 intersect at four points. Compute the sum of the distances from these four points to the point (−3,2).

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The graphs of x2+y2+6x−24y+72=0x^2 + y^2 + 6x - 24y + 72 = 0 and x2−y2+6x+16y−46=0x^2 - y^2 + 6x + 16y - 46 = 0 intersect at four points. Compute the sum of the distances from these four points to the point (−3,2).(-3,2).
Plain-text mathematical notation (without MathML)
The graphs of x²+y²+6x−24y+72=0 and x²−y²+6x+16y−46=0 intersect at four points.  Compute the sum of the distances from these four points to the point (−3,2).
Original LaTeX notation
The graphs of $x^2 + y^2 + 6x - 24y + 72 = 0$ and $x^2 - y^2 + 6x + 16y - 46 = 0$ intersect at four points.  Compute the sum of the distances from these four points to the point $(-3,2).$

level

Level 4

type

Intermediate Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
8fe8b803-0eb8-5e54-b05a-24290a6dc403
task_key
intermediate~5falgebra--test--8fe8b803-0eb8-5e54-b05a-24290a6dc403
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import