SOLUTION: The product of two consecutive integers is 9 less than 9 times their sum. Find the integers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The product of two consecutive integers is 9 less than 9 times their sum. Find the integers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 112424This question is from textbook Introductory Algebra
: The product of two consecutive integers is 9 less than 9 times their sum. Find the integers. This question is from textbook Introductory Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X(X+1)=9(X+X+1)-9
X^2+X=9(2X+1)-9
X^2+X=18X+9-9
X^2+X-18X=0
X^2-17X=0
X(X-17)=0
X=0 ANSWER.
X-17=0
X=17 ANSWER.
PROOF.
17*18=9(17+18)-9
306=9*35-9
306=315-9
306=306