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If x - \(\frac{1}{x}\) = 3\(\sqrt{5}\) then find the value of ( x + \(\frac{1}{x}\) )2 |
36 49 25 64 |
49 |
⇒ If x - \(\frac{1}{x}\) = a then x + \(\frac{1}{x}\) = \(\sqrt {a^2 + 4}\) Here, x - \(\frac{1}{x}\) = 3\(\sqrt{5}\), then ⇒ x + \(\frac{1}{x}\) = \(\sqrt {(3\sqrt{5})^2 + 4}\) = 7 ⇒ ( x + \(\frac{1}{x}\) )2 = 72 = 49 |
