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Grade 8 - Mathematics
7.45 Problems - IX

Example:
If x+1/x = 3, find the value of x3+1/x3.
Solution:
Given that,
x+1/x = 3
Cubing on both sides, we get
(x+1/x)3 = 33
x3+1/x3+3.x.1/x.(x+1/x) = 27
x3+1/x3+3.3 = 27
x3+1/x3+9 = 27
x3+1/x3 = 27-9
x3+1/x3 = 18


Directions: Solve the following problems.
Q 1: If x+1/x = 8, find the value of x3+1/x3.
488
484
486
482

Q 2: If x+1/x = 4, find the value of x3+1/x3.
52
56
54
58

Q 3: If x+1/x = 6, find the value of x3+1/x3.
192
198
194
196

Q 4: If x+1/x = 5, find the value of x3+1/x3.
115
117
113
119

Q 5: If x+1/x = 9, find the value of x3+1/x3.
706
702
704
708

Q 6: If x+1/x = 10, find the value of x3+1/x3.
970
960
965
975

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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