benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Find the sum of the x-coordinates of the distinct points of intersection of the plane curves given by x²=x+y+4 and y²=y−15x+36.

Problem

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

problem

Find the sum of the xx-coordinates of the distinct points of intersection of the plane curves given by x2=x+y+4x^{2}=x+y+4 and y2=y−15x+36y^{2}=y-15 x+36.
Plain-text mathematical notation (without MathML)
Find the sum of the x-coordinates of the distinct points of intersection of the plane curves given by x²=x+y+4 and y²=y−15x+36.
Original LaTeX notation
Find the sum of the $x$-coordinates of the distinct points of intersection of the plane curves given by $x^{2}=x+y+4$ and $y^{2}=y-15 x+36$.

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
942c5926-8d52-580a-8962-d9124ad07d89
task_key
test--942c5926-8d52-580a-8962-d9124ad07d89
task_revision_id
1
config / split
/ test

Official source

initial import