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If x - \(\frac{1}{x}\) = 5\(\sqrt{21}\) then find the value of ( x + \(\frac{1}{x}\) )2 |
484 676 529 900 |
529 |
⇒ If x - \(\frac{1}{x}\) = a then x + \(\frac{1}{x}\) = \(\sqrt {a^2 + 4}\) Here, x - \(\frac{1}{x}\) = 5\(\sqrt{21}\), then ⇒ x + \(\frac{1}{x}\) = \(\sqrt {(5\sqrt{21})^2 + 4}\) = 23 ⇒ ( x + \(\frac{1}{x}\) )2 = 232 = 529 |
