someone please answer this question
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Answer:
x² +1/x² = 14
(x + 1/x)² -2.x.1/x = 14
(x + 1/x)² -2 = 14
(x + 1/x)² = 16
take square root both sides
(x + 1/x) = 4
then,
x³ + 1/x³ = (x + 1/x)³ - 3.x.1/x(x + 1/x)
= (x +1/x)³ -3(x + 1/x)
= (4)³ -3(4)
= 64-12
= 52
Step-by-step explanation:
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