SOLUTION: `If x–y=7 and xy=6 then find the value of x^4+1/x^4

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Question 890599: `If x–y=7 and xy=6 then find the value of x^4+1/x^4
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
If xy = 6, what are the possibilities?
x=6, y=1
x=3, y=2
x=2, y=3
x=1, y=6
and the negatives of the above pairs.
None of those pairs fits the equation x-y=7
Is it perhaps supposed to be x+y=7? In that case, xy can either be 6,1 or 1,6.
Using 6,1...
6%5E4+1%2F6%5E4 = 1296
Using 1,6...
1%5E4+1%2F1%5E4 = 2
.
Please repost if the assumptions are incorrect.