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If x + 1/x = 3, then find x^4 + 1/x^4.

 Feb 22, 2021
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\( \frac{x+1}{x}=3\)

 

\(x+1=3x\)

 

\(1=2x\)

 

\(\frac{1}{2}=x\) 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

 Feb 23, 2021

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