Practicing Success
If \(\sqrt {x}\) - \(\frac{1}{\sqrt {x}}\) = 4 Find x2 + \(\frac{1}{x^2}\) |
326 324 322 328 |
322 |
Sq. on both sides (\(\sqrt {x}\) - \(\frac{1}{\sqrt {x}}\))2 = (4)2 x + \(\frac{1}{x}\) - 2 = 16 x + \(\frac{1}{x}\) = 18 ⇒ x2 + \(\frac{1}{x^2}\) = (18)2 - 2 = 322 |