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If x^4+1/(x^4)=47 , find the value of x^...

If `x^4+1/(x^4)=47 ,` find the value of `x^3+1/x^3`

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To find the value of \( x^3 + \frac{1}{x^3} \) given that \( x^4 + \frac{1}{x^4} = 47 \), we can follow these steps: ### Step 1: Relate \( x^4 + \frac{1}{x^4} \) to \( x^2 + \frac{1}{x^2} \) We know that: \[ x^4 + \frac{1}{x^4} = \left( x^2 + \frac{1}{x^2} \right)^2 - 2 ...
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