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MATH / Find the product CD of the integers C and D for which

Problem

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problem

Find the product CDCD of the integers CC and DD for which Cx−3+Dx+8=4x−23x2+5x−24\frac{C}{x-3}+\frac{D}{x+8}=\frac{4x-23}{x^2+5x-24}for all real values of xx except −8-8 and 33.
Plain-text mathematical notation (without MathML)
Find the product CD of the integers C and D for which
(C)/(x−3)+(D)/(x+8)=(4x−23)/(x²+5x−24)for all real values of x except −8 and 3.
Original LaTeX notation
Find the product $CD$ of the integers $C$ and $D$ for which
\[\frac{C}{x-3}+\frac{D}{x+8}=\frac{4x-23}{x^2+5x-24}\]for all real values of $x$ except $-8$ and $3$.

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
34e69204-4274-5cc9-a2de-ca3f3010504f
task_key
intermediate~5falgebra--test--34e69204-4274-5cc9-a2de-ca3f3010504f
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import