If x + 1/x = 7, find the value of 3x/(x2 - 6x + 1)

A

1

B

3

C

0

D

- 2

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Question: If x + 1/x = 7, find the value of 3x/(x2 - 6x + 1)

Solution:
Given,
x + 1/x = 7
⇒ (x2 + 1)/x = 7
∴ x2 + 1 = 7x

Now,
3x/(x2 - 6x + 1)
= 3x/(x+ 1 - 6x)
= 3x/(7x - 6x)
= 3x/x
= 3

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Updated: 5 days ago

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