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InterviewSolution
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If \(\sqrt x + \frac{1}{{\sqrt x }} = 4\), find the value of \({x^2} + \frac{1}{{{x^2}}}\).1. 1962. 2583. 2544. 194 |
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Answer» Correct Answer - Option 4 : 194 Given: √ x + (1/√ x) = 4 Calculation: Squaring both sides, [√ x + (1/√ x)]2 = 42 =16 x + 2 + (1/x) = 16 We get, x + (1/x) = 16 - 2 = 14 ----(1) Squaring both sides of (1), [x + (1/x)]2 = 142 = 196 x2 + 2 + (1/x2) = 196 x2 + (1/x2) = 194 ∴ The value of x2 + (1/x2) is 194. |
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