precious4466 precious4466
  • 17-05-2020
  • Mathematics
contestada

What is the of A in a partial fraction decomposition below?


8x+28/ (x-1)(x+2)(x+3) = A/x-1 + B/x+2 + C/x+3

Respuesta :

MathPhys
MathPhys MathPhys
  • 17-05-2020

Answer:

3

Step-by-step explanation:

(8x + 28) / ((x − 1) (x + 2) (x + 3)) = A / (x − 1) + B / (x + 2) + C / (x + 3)

Multiply both sides by (x − 1) (x + 2) (x + 3).

8x + 28 = A (x + 2) (x + 3) + B (x − 1) (x + 3) + C (x − 1) (x + 2)

If x = 1:

8 + 28 = A (3) (4)

36 = 12A

A = 3

Answer Link

Otras preguntas

2Read the following sentences and circle the suffixes.a.programmer​
How does Chisholm feel about women in polities? A She thinks they can bring important new perspectives O B. She thinks they are often subjected to discriminatio
Which of the following statements is FALSE? Humble Oil, which later became Exxon Mobil is one of the largest oil companies today. b. Lynn T. Barret drilled the
Write a short story on the day i will never forget
Why do molecules move?
A major advantage of direct mapped cache is its simplicity and ease of implementation. The main disadvantage of direct mapped cache is: a. it is more expensive
The population of Arizona in 1970 was 1775 thousand. In 1992 this number had increased to 3835. Using the line of best fit, predict the population of Arizona in
There are three 20.0 Ω resistors connected in series across a 120 V generator
What are three ways the U.S is a world leader.
Which of the following characterized Joseph Stalin's leadership of the Soviet Union? A)Free elections, tolerance of opposition groups, and the encouragement of