SOLUTION: Find 3 consecutive numbers where the product of the smaller two numbers is 37 less than the square of the largest number.

SOLUTION: Find 3 consecutive numbers where the product of the smaller two numbers is 37 less than the square of the largest number.

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Question 202163: Find 3 consecutive numbers where the product of the smaller two numbers is 37 less than the square of the largest number.
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
We'll assume they mean three consecutive integers.
Let x be the smallest. Then the other two numbers are and
Given

So the numbers are 11, 12 and 13.
Check your answer:
Does 11*12 = 13^2 - 37???
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