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It is also 2.
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If the value of { (x) + (1/x) } = 2, then the value of (x²) + (1/x²) = 2.
• Given value of { (x) + (1/x) } = 2
• Squaring both the sides, we get,
{ (x) + (1/x) }² = 2²
• Applying the formula (a + b)² = a² + 2ab + b², we get,
(x)² + 2.(x).(1/x) + (1/x)² = 4 [ Here, a = x, b = (1/x) ]
• Or, x² + 2 + (1/x²) = 4 [ x and (1/x) get cancelled ]
• Or (x²) + (1/x²) = 4 - 2
• Or, (x²) + (1/x²) = 2
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