SOLUTION: Find three consecutive integers such that the square of the smallest is 29 less than the product of the larger two.
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Question 1131637
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Find three consecutive integers such that the square of the smallest is 29 less than the product of the larger two.
Answer by
ikleyn(52834)
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n^2 = (n+1)*(n+2) - 29 n^2 = n^2 + n + 2n + 2 - 29 3n = 27 ====> n = 9.
Answer
. 9, 10 and 11.
Solved.