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MATH / Find A and B such that

Problem

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

problem

Find

A

and

B

such that

\frac{4x}{x^2-8x+15} = \frac{A}{x-3} + \frac{B}{x-5}

for all

x

besides 3 and 5. Express your answer as an ordered pair in the form

(A, B).

Plain-text mathematical notation (without MathML)

Find A and B such that
(4x)/(x²−8x+15)=(A)/(x−3)+(B)/(x−5)for all x besides 3 and 5. Express your answer as an ordered pair in the form (A,B).

Original LaTeX notation

Find $A$ and $B$ such that
\[\frac{4x}{x^2-8x+15} = \frac{A}{x-3} + \frac{B}{x-5}\]for all $x$ besides 3 and 5. Express your answer as an ordered pair in the form $(A, B).$

level

Level 5

type

Algebra

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Source and history

task_id: e4000312-9c8c-5f51-a317-1dfc6f753cf6
task_key: algebra--test--e4000312-9c8c-5f51-a317-1dfc6f753cf6
task_revision_id: 2
config / split: algebra / test

Official source

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