If n is not equal to zero, and n+1/n = 10, then what is the value of n^4 + (1/n)^4?
If n is not equal to zero, and n+1/n = 10, then what is the value of n^4 + (1/n)^4?
Answer/Solution
9602
Steps/Work
n + 1/n=10
we square both sides so we have n^2 + 1/n^2 +2 = 100
or n^2 + 1/n^2= 98
squaring again we have n^4 + 1/n^4 + 2 = 9604
or n^4 + 1/n^4 = 9602
answer =9602 (C)
we square both sides so we have n^2 + 1/n^2 +2 = 100
or n^2 + 1/n^2= 98
squaring again we have n^4 + 1/n^4 + 2 = 9604
or n^4 + 1/n^4 = 9602
answer =9602 (C)