If x + 1/x = 5, then x² + 1/x² = ? *
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Step-by-step explanation:
x + 1/x = 5
//square on both sides
(x + 1/x)² = 5²
=> x² + 1/x² + 2(x)(1/x) = 25 (∵ (a +b)² = a² + b² + 2ab )
=> x² + 1/x² + 2 = 25
=> x² + 1/x² = 23.
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