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If 1/X + X = 5, what is 1/X^2 + X^2 = ? Thanks :

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Intern
Joined: 11 Oct 2005
Posts: 2
If 1/X + X = 5, what is 1/X^2 + X^2 = ? Thanks : [#permalink]

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11 Oct 2005, 15:53
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If 1/X + X = 5, what is 1/X^2 + X^2 = ?

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Director
Joined: 21 Aug 2005
Posts: 789

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11 Oct 2005, 16:06
Multiply both sides by [(1/x)+x]
We get
(1/x^2) + x^2 + 2 = 5*[(1/x)+x] = 5*5
So,
(1/x^2) + x^2 = 23
11 Oct 2005, 16:06
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