Question

x^2-3x-1=0
then the value of x^5+1/x^5
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Answer 1

Answer:

${x}^{2} - 3x - 1 = 0 \\ on \: dividing \: by \: x \\ x - 3 - \frac{1}{x} = 0 \\ x - \frac{1}{x} = 3 \\ {x}^{2} + \frac{1}{ {x}^{2} } = {3}^{2} + 2 = 11 \\ {x}^{3 } - \frac{1}{ {x}^{3} } = {3}^{3} + 3 \times 3 = 36 \\ now. \\ {x}^{5} + \frac{1}{ {x}^{5} } = 11 \times 36 - 3 = 393$