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If x2 − 4x + 1 = 0, find x+1/x. - Mathematics

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Question

If x2 − 4x + 1 = 0, find `x+1/x`.

Sum
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Solution

x2 − 4x + 1 = 0

⇒ x2 + 1 = 4x

⇒ `(x^2 + 1)/x = 4`

⇒ `x + 1/x = 4`

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Chapter 3: Expansions - EXERCISE B [Page 36]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 3 Expansions
EXERCISE B | Q 6. (i) | Page 36
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