If x + 1/x = 5, find the values of x^3 +1/x^3
Answers
Answered by
3
this is your answer. Please mark it brainliest if you liked.
Attachments:
Answered by
4
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
( 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
Similar questions