If (\(\sqrt {x}\))2 + \(\frac{1}{(\sqrt {x})^2}\) = 9
Find x2 - \(\frac{1}{×^2}\)
Answer & explanation
Correct answer: option 1
Formula → (a + b) (a - b) = a2 - b2
Given, (\(\sqrt {x}\))2 + \(\frac{1}{(\sqrt {x})^2}\) = 9
x - \(\frac{1}{x}\) = \(\sqrt {9^2 - 4}\) = \(\sqrt {77}\)
x2 - \(\frac{1}{×^2}\) = 9 × \(\sqrt {77}\) = 9\(\sqrt {77}\)