Question

If x + 1/x = 5, find the values of x^3 +1/x^3

Answer 1

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Answer 2

Hey !!

( X + 1/X ) = 5



Cubing on both sides , we get




( X + 1/X)³ = (5)³


X³ + 1/X³ + 3 ( X • 1/X ) ( X + 1/X ) = 125



X³ + 1/X³ + 3 × 1 × 5 = 125



X³ + 1/X³ + 15 = 125



X³ + 1/X³ = 125 - 15



X³ + 1/X³ = 110