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3 years ago

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

Mathematics

1 answer:

denis-greek [22]3 years ago

8 0

Answer:

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

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Highlight the error in which the student made and correct it underneath in a different color.

klasskru [66]

Here it is given that,

$\implies \boxed{28 \div 2^{2} - 36 \div 3^{2} }$

Solution :

$\implies \tt28 \div 4 - 36 \div 9$

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Hence, the answer is 3

________________________________

More Information :

Here we have used BODMAS rule..

B = Bracket
O = of
D = Division
M = Multiplication
A = Addition
S = Subtraction

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