2x-6=2/x then x^2+1/x^2
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2
Answer:
11
Explanation:
Given 2x-6 = 2/x
Divide each term by 2, we get
x -3 = 1/x
=> x-1/x = 3 ---(1)
=> x²+1/x² = (x-1/x)² +2
=3²+2
= 9 +2
= 11
Therefore,
x² + 1/x² = 11
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