## Need Help With Word Problem

Simplificatation, evaluation, linear equations, linear graphs, linear inequalities, basic word problems, etc.
Rachelz77
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Joined: Wed Nov 11, 2015 4:52 pm
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### Need Help With Word Problem

The Product of two consecutive integers is 17 less than the square of the larger integer. Find the integers.

I started with let x+1 = integer 1 and x+2= integer 2
(x+1)(x+2)=(x+2)^2-17
Am I on the right track?
After doing the above equation i came up with x=5. But, (5+1)=6 and (5+2)=7, so the integers 6x7=42 is not 17 less than 7^2 which is 49, it's only 7 less. How do I come to the right answer?

Posts: 136
Joined: Sun Feb 22, 2009 11:12 pm

### Re: Need Help With Word Problem

The Product of two consecutive integers is 17 less than the square of the larger integer. Find the integers.

I started with let x+1 = integer 1 and x+2= integer 2
You could use "x" and "x + 1", too. But either way works. Just remember to add the 1 and the 2 to "find the integers" at the end.
(x+1)(x+2)=(x+2)^2-17
Am I on the right track?
Yes.
After doing the above equation i came up with x=5. But, (5+1)=6 and (5+2)=7, so the integers 6x7=42 is not 17 less than 7^2 which is 49, it's only 7 less. How do I come to the right answer?
What were your steps? It should be something like

x^2 + 3x + 2 = x^2 + 4x + 4
3x + 2 = 4x + 4
-2 = x

How did you get your numbers? Plz show ALL your steps. Thanks.