CUET Preparation Today
If x - \(\frac{1}{x}\) = 4\(\sqrt{2}\) then find the value of ( x + \(\frac{1}{x}\) )2 |
25 64 36 49 |
36 |
⇒ If x - \(\frac{1}{x}\) = a then x + \(\frac{1}{x}\) = \(\sqrt {a^2 + 4}\) Here, x - \(\frac{1}{x}\) = 4\(\sqrt{2}\), then ⇒ x + \(\frac{1}{x}\) = \(\sqrt {(4\sqrt{2})^2 + 4}\) = 6 ⇒ ( x + \(\frac{1}{x}\) )2 = 62 = 36 |
