SOLUTION: Three consecutive whole numbers are such that the square of the middle number is greater than the product of the other two by 1. Find the middle number.

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Question 282354: Three consecutive whole numbers are such that the square of the middle number is greater than the product of the other two by 1. Find the middle number.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be x, x+1, x+2
(x+1)^2-x(x+2)=1
x^2+2x+1-x^2-2=1
1=1; x is undefined.
"Three consecutive whole numbers are such that the square of the middle number is greater than the product of the other two by 1" is true for any three consecutive integers!
.
Ed