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

What is the slope called if zero is on the numerator or top of the fraction?
Describe how a person can count the rate if beating of the left ventricle.
how do you find the least common multiple of these two expressions. 10x^5v^8 and 25x^4v^7u^2
Find all zeros (both real and complex) for the function f(x)=x^3-5x^2+4x+10
How many subsets does the set {1, 2, 3} have?
Dr Wellbee advised his patients to drink 8 eight-ounce glasses of water everyday for every 50 pounds of weight. Kelby drank 168 glasses of water in one week. Ho
y=2x+1 find the slope and y-intercept
a rectangular plot of land is 100 feet long and 50 feet wide how long is the walkway along the diagonal? round to the nearest foot.
a rectangular plot of land is 100 feet long and 50 feet wide how long is the walkway along the diagonal? round to the nearest foot.
Where do most drugs enter the bloodstream