Find all pairs of positive Integers(A,B)such that A^B-B^A=3
samba siva reddy , 8 Years ago
Grade 10
Algebra> Find all pairs of positive Integers(A,B)s...
1 AnswersAman Sharma
Last Activity: 8 Years ago
THE PERFECT REASON IS GIVEN
YOU COULD TRY YOURSELF
the number is a=4 and b=1
by taking the cases that a^B is 4 and b^a is 1.
hence by taking the cases whatever umber we take should have a proper square root.
by taking all the cases only one pair of numbers fits the criteria.
4^1-1^=3
hence we get only one pair that(a;b)=(4;1)
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