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

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)   (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(52852)   (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 the integer is 182. Determine all such integers. An algebraic solution is required.

Learn English from my posts.

Answer by greenestamps(13203)   (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.

the two integers are 14 and 14

the two integers are 15 and 43

...
the two integers are 10 and -82

...

RELATED QUESTIONS
The difference between an integer and its square root is 110, what is the integer? (answered by stanbon)
the difference between an integer and its square root is 6. find the... (answered by Alan3354,greenestamps,ikleyn)
show an algebraic solution for 3 consecutive even integers such that the sum of the... (answered by advanced_Learner,MathTherapy,ikleyn)
there are 3 consecutive positive odd integers. the difference between the squares of... (answered by checkley79)
Find three consecutive positive even integers such that the product of the second and... (answered by CubeyThePenguin)
Find two consecutive positive even integers such that the square of the second integer... (answered by mananth)
Find the square of an integer such that four less than half the integer is... (answered by josgarithmetic)
An integer P is two thirds of another and their difference is ten.Find the two... (answered by checkley79)
find an integer such that square of the integer is eighty one less than eigtheen times... (answered by checkley77)