SOLUTION: eight less than 9 times a number is the same as the square of the number. Find all such numbers

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: eight less than 9 times a number is the same as the square of the number. Find all such numbers      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 612521: eight less than 9 times a number is the same as the square of the number. Find all such numbers
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = the number(s):
9n-8+=+n%5E2
n%5E2-9n%2B8+=+0 Factor.
%28n-1%29%28n-8%29+=+0 Apply the zero product rule.
n-1+=+0 or n-8+=+0 so...
n+=+1 or n+=+8