benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Janaina is trying to solve the following equation by completing the square:…

Problem

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

problem

Janaina is trying to solve the following equation by completing the square: x2+18x−9=0.x^2+18x-9 = 0.She successfully rewrites the above equation in the following form: (x+b)2=c,(x + b)^2 = c,where bb and cc are integers. What is the value of cc?
Plain-text mathematical notation (without MathML)
Janaina is trying to solve the following equation by completing the square: x²+18x−9=0.She successfully rewrites the above equation in the following form: (x+b)²=c,where b and c are integers. What is the value of c?
Original LaTeX notation
Janaina is trying to solve the following equation by completing the square: $$x^2+18x-9 = 0.$$She successfully rewrites the above equation in the following form: $$(x + b)^2 = c,$$where $b$ and $c$ are integers. What is the value of $c$?

level

Level 3

type

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
f9d1be5e-083d-5fd6-8b3e-b081c814b5c3
task_key
algebra--test--f9d1be5e-083d-5fd6-8b3e-b081c814b5c3
task_revision_id
1
config / split
algebra / test

Official source

initial import