Practicing Success
If $x^4 +\frac{1}{x^4}=14159$, then the value of $x + \frac{1}{x}$ is : |
9 12 10 11 |
11 |
If x4 + \(\frac{1}{x^4}\) = a then x2 + \(\frac{1}{x^2}\) = \(\sqrt {a + 2}\) = b and x + \(\frac{1}{x}\) = \(\sqrt {b + 2}\) If $x^4 +\frac{1}{x^4}=14159$, then x2 + \(\frac{1}{x^2}\) = \(\sqrt {14159 + 2}\) = 119 and x + \(\frac{1}{x}\) = \(\sqrt {119 + 2}\) = 11 |