SOLUTION: The product of two consecutive integers is 17 less than the square of the larger integer. Find the integers.

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Question 887503: The product of two consecutive integers is 17 less than the square of the larger integer. Find the integers.
Answer by lwsshak3(11628) About Me  (Show Source):
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The product of two consecutive integers is 17 less than the square of the larger integer. Find the integers.
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let x=smaller consecutive integer
x+1=larger consecutive integer
..
x(x+1)=(x+1)^2-17
x^2+x=x^2+2x+1-17
x=16
x+1=17
smaller consecutive integer=16
larger consecutive integer=17