When 5 is added to natural number n it gives a perfect square and when 11 is subtracted from n it also gives a perfect square. If someone stated that only number 20 satisfy given conditions, is he right? If no, can you find other numbers that satisfy the given conditions?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 27E
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When 5 is added to natural
number n it gives a perfect
square and when 11 is
subtracted from n it also gives
a perfect square. If someone
stated that only number 20
satisfy given conditions, is he
right? If no, can you find other
numbers that satisfy the given
conditions?
Transcribed Image Text:When 5 is added to natural number n it gives a perfect square and when 11 is subtracted from n it also gives a perfect square. If someone stated that only number 20 satisfy given conditions, is he right? If no, can you find other numbers that satisfy the given conditions?
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