x^2-4 using partial fraction decomposition
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expand 1/x^2-4 using partial fraction decomposition
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(Based on todays review)
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kenlingdad
Answer:
1 / X² -4 = (- 1/4) / (X+2) + (1/4) / (X - 2)
Step-by-step explanation:
1 / x²-4 = 1 / (X+2) * (X-2)
1 / X²-4 = (A / X+2) + (B / X-2) = (AX - 2A + BX +2B) / X² -4
∴ 1 = (A + B) * X - 2 (A - B)
A + B = 0
- 2 (A - B) = 1
A - B = - 1/2
∴ 2A = - 1/2
A= - 1/4
B= 1/4
1 / X² -4 = (- 1/4) / (X+2) + (1/4) / (X - 2)
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yayeet9929
Answer:
1 / X² -4 = (- 1/4) / (X+2) + (1/4) / (X - 2)
Step-by-step explanation:
got it correct on edg 2020 plus it is very easy to find out
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