SOLUTION: The difference between an integer and the square of an integer is 182. Determine all such integers. An algebraic solution is required. Struggling very much with algebra Than

Algebra ->  Square-cubic-other-roots -> SOLUTION: The difference between an integer and the square of an integer is 182. Determine all such integers. An algebraic solution is required. Struggling very much with algebra Than      Log On


   

Question 1168817: The difference between an integer and the square of an integer is 182. Determine all such integers. An algebraic solution is required.
Struggling very much with algebra
Thank you
Found 3 solutions by Alan3354, ikleyn, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between an integer and the square of an integer is 182. Determine all such integers.
---------------
n^2 - n = 182
n^2 - n - 182 = 0
(n-14)*(n+13) = 0
n = -13, 14
---------------
I could have commented on the structure, i.e., "an integer" vs. "the integer," but did not deign to cavil the point.

Answer by ikleyn(52848) About Me  (Show Source):
You can put this solution on YOUR website!
.


The wording of the post is  FATALLY  incorrect.

The correct wording is below 

        The difference between an integer and the square of highlight%28cross%28an%29%29 the integer is 182. 
        Determine all such integers. An algebraic solution is required.


Learn English from my posts.



Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Apparently you are struggling with English too....

The way the problem is stated, the two integers can be different. That of course means there are an infinite number of solutions.

14%5E2-14+=+196-14+=+182 the two integers are 14 and 14

15%5E2-43+=+225-43+=+182 the two integers are 15 and 43

...
10%5E2-%28-82%29+=+100%2B82+=+182 the two integers are 10 and -82

...