SOLUTION: Hi! I would like some help with this problem: The product of two consecutive odd integers is 143. Find the other two. I know what odd integers are but I just don't know how to s

Question 596726: Hi! I would like some help with this problem:
The product of two consecutive odd integers is 143. Find the other two.
I know what odd integers are but I just don't know how to solve the problem.
Thank you.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Let x=first odd integer
x+2 = second odd integer

The product is 143.
x(x+2) = 143
x^2 + 2x -143=0

This factors:
(x-11)(x+13)=0
x=11 or x=-13
x+2= 13 x+2=-11

Two sets of numbers: 11 and 13, or -13 and -11.

For additional explanation on WORD PROBLEMS, please see my own website. The easiest way to find it is to use the easy to spell and easy to remember link www.mathinlivingcolor.com. On this single page website, there is a link at the bottom of the page that takes you to my Homepage.

Near the top of my homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", and choose Basic Algebra (Chapter 1) for explanation of consecutive integer problems. See also Intermediate and College Algebra Chapter 1 for topics such as products of consecutive integers that may require solving quadratic equations as well.

There you will find explanations that may be easier to understand than your traditional textbooks, and many of the exercises from these sections are solved in color on the "MATH IN LIVING COLOR" pages that go with these sections.

If you like my website, please tell your friends and family. It's all FREE. You can contact me by Email at rapaljer@seminolestate.edu.

Dr. Robert J. Rapalje, Retired
Professor of Mathematics
Seminole State College of Florida
RELATED QUESTIONS
HI, i am so confused with one of my Algebra problems. Help would be greatly appreciated!! (answered by Paul)

I need help finding two consecutive odd integers the product of which is 143. i have... (answered by jim_thompson5910)

The product of two consecutive integers is 9 less than 9 times their sum. Find the... (answered by stanbon)

The product of two consecutive odd integers is 143. Find the... (answered by amarjeeth123)

The product of two consecutive positive odd integers is 143. Find the pair of integers... (answered by mananth)

The product of two consecutive odd integers is 143. Find all pairs of integers that... (answered by jorel1380)

Hi, I can't seem to solve this problem...I have to find two consecutive, positive,... (answered by stanbon)

Hello, Could you please help me with this problem about integers? I have no clue on how... (answered by josmiceli)

Thanks in advance for your help... Here's my problem- The product of two... (answered by jim_thompson5910)