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If x^4+1/(x^4)=194 ,\ find x^3+1/(x^3),...

If `x^4+1/(x^4)=194 ,\ ` find `x^3+1/(x^3),\ x^2+1/(x^2)` and `x+1/x`

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To solve the problem, we need to find the values of \( x^3 + \frac{1}{x^3} \), \( x^2 + \frac{1}{x^2} \), and \( x + \frac{1}{x} \) given that \( x^4 + \frac{1}{x^4} = 194 \). ### Step-by-Step Solution: 1. **Start with the given equation:** \[ x^4 + \frac{1}{x^4} = 194 \] ...
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