benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Find the sum of all complex solutions of the equation

Problem

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

problem

Find the sum of all complex solutions of the equation 1x2−1+2x2−2+3x2−3+4x2−4=2010x−4.\frac{1}{x^2 - 1} + \frac{2}{x^2 - 2} + \frac{3}{x^2 - 3} + \frac{4}{x^2 - 4} = 2010x - 4.
Plain-text mathematical notation (without MathML)
Find the sum of all complex solutions of the equation
(1)/(x²−1)+(2)/(x²−2)+(3)/(x²−3)+(4)/(x²−4)=2010x−4.
Original LaTeX notation
Find the sum of all complex solutions of the equation
\[\frac{1}{x^2 - 1} + \frac{2}{x^2 - 2} + \frac{3}{x^2 - 3} + \frac{4}{x^2 - 4} = 2010x - 4.\]

level

Level 5

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
d94a2d40-3067-535f-ba5d-40fe366ab793
task_key
intermediate~5falgebra--test--d94a2d40-3067-535f-ba5d-40fe366ab793
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import