A four digit number is squared to form an eight digit number. The center four digits of that square form the four digit number. Find all possible four digit numbers.

*(If 'abcd' was the four digit number, then the eight digit number would look like 'wxabcdyz'.)*

*...."(If 'abcd' was the four digit number, then the eight digit number would look like 'wxabcdyz'.)*

In the official solution the eight digit number **would not look like** *'wxabcdyz':*

2nd answer would be * ***xaabcccc.** *s*quare** of abcc**

and the 3rd answer would be ** ***cxabcccc, **s*quare** of abcc**

*SO ONLY THE 1st ANSWER QUALIFIES.*

*Edited on ***March 8, 2016, 8:14 pm**