Solve the question with algebraic identity
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Answer:
8
Step-by-step explanation:
Given: x^2+ 1/x^2 = 66
x -1/x = ?
(x -1/x)^2 = x^2 + 1/x^2 - 2(x.1/x)
(x - 1/x) ^2 = 66 -2
(x - 1/x) ^2 = 64
square rooting both sides, we get
x - 1/x = √64
(x - 1/x) = 8
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