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MATH / What fraction of the form (A)/(x+3) can be added to (6x)/(x²+2x−3) so that the result reduces to a fraction of the form (B)/(x−1)? Here A and B are real numbers. Give the value of …

Problem

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problem

What fraction of the form Ax+3\frac{A}{x + 3} can be added to 6xx2+2x−3\frac{6x}{x^2 + 2x - 3} so that the result reduces to a fraction of the form Bx−1\frac{B}{x - 1}? Here AA and BB are real numbers. Give the value of AA as your answer.
Plain-text mathematical notation (without MathML)
What fraction of the form (A)/(x+3) can be added to (6x)/(x²+2x−3) so that the result reduces to a fraction of the form (B)/(x−1)?  Here A and B are real numbers.  Give the value of A as your answer.
Original LaTeX notation
What fraction of the form $\frac{A}{x + 3}$ can be added to $\frac{6x}{x^2 + 2x - 3}$ so that the result reduces to a fraction of the form $\frac{B}{x - 1}$?  Here $A$ and $B$ are real numbers.  Give the value of $A$ as your answer.

level

Level 4

type

Intermediate Algebra

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Source and history

task_id
831f8107-542f-52b8-a35d-6c6131947099
task_key
intermediate~5falgebra--test--831f8107-542f-52b8-a35d-6c6131947099
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import