Math, asked by debmallyatrivedi2009, 1 month ago

If ax-1/bx = C , then Find a²x² + 1/b²x²

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Answers

Answered by nilanjanasamanta121
0

Answer:

Consider,

x

3

−1

2x

=

(x−1)(x

2

+x+1)

2x

Resolving into partial fractions,

(x−1)(x

2

+x+1)

2x

=

x−1

A

+

x

2

+x+1

Bx+C

⇒2x=A(x

2

+x+1)+(Bx+C)(x−1)

⇒2x=(A+B)x

2

+(A−B+C)x+(A−C)

⇒A+B=0,A−B+C=2,A−C=0

⇒A=−B=C

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