If x + 1/x = 3, then find x^4 + 1/x^4.
\( \frac{x+1}{x}=3\)
\(x+1=3x\)
\(1=2x\)
\(\frac{1}{2}=x\) or \(x=\frac{1}{2}\)
so:
\(x^4 + \frac{1}{x^4}\)
\((\frac{1}{2})^4 + (\frac{1}{(\frac{1}{2})^4})\)
\(0.0625+\frac{1}{0.0625}\)
\(16.0625\)
Answer = 16.0625
