# Stunning Algebra: Problem of the Week (December 14 – December 21, 2013)

Perfect square

How many possible value of x in the set of  {1,2,3,…,1000} such that the expression   $x^2-x$   is a perfect square?

1. Jeffery Robles. University of the Philippines- Diliman

2. Muthu Krishna. Kle College , Bengaluru

3. Arsh Singh. yourmathguru.com

4. ambi kumbakonam

5. Kennard Ong Sychingping, De La Salle University

6. Regin N. Manamba .University of Southern Mindanao-Kabacan

7. Jia Syuen- SMJK Sam Tet, Malaysia

### Dan

Blogger and a Math enthusiast. Has no interest in Mathematics until MMC came. Aside from doing math, he also loves to travel and watch movies.

### 130 Responses

1. only 1

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1

3. Jhay Dela Cruz says:

Null

4. Regin N. Manamba - University of Southern Mindanao-Kabacan says:

only one value of x will satisfy the given condition x^2 – x will be a perfect square, that is when x = 1

5. Jia Syuen- SMJK Sam Tet, Malaysia says:

x=1

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