Question

if x+1/x=√3 then find x³+1/x³​

Answer 1

Step-by-step explanation:

x³+1/x³ = √3³= 5.20

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Answer 2

if x+1/x=√3

$x + \binom{1}{x} = \sqrt{3} \\ \\ by \: cubing \: both \: sides \: \\ \\ \\ ({ x + \frac{1}{x} })^{3} = 3 \sqrt{3} \\ {x}^{3} \: + \binom{1}{x} ^{3} +3( \: x + \binom{1}{x} ) = 3 \sqrt{3} \\ {x}^{3} + \binom{1}{x} ^{3} +3( \sqrt{3}) = 3 \sqrt{3} \\ {x}^{3} + \binom{1}{x} ^{3} + 3 ( \sqrt{3} ) = 3 \sqrt{3} \\ {x}^{3} + \binom{1}{x} ^{3} = 3 \sqrt{3} - 3\sqrt{3} \\ {x}^{3} + \binom{1}{x} ^{3} = 0$

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