If (x+1/x)²=3, find x³+1/x³
plz solve it guys
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Step-by-step explanation:
(x+1/x)² = 3
x + 1/x = √3
then,
(x+1/x)³ = x³ + (1/x)³ + 3(x)(1/x) (x + 1/x)
√3³ = x³ + 1/x³ + 3(√3)
x³ + 1/x³ = 3√3 - 3√3
x³ + 1/x³ = 0
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