Answer:
x = -1
Step-by-step explanation:
The total of each row will be the total of all numbers (0) divided by the number of rows (3), so is 0/3 = 0. The center number is the average of all numbers, so is 0/9 = 0.
Since the sum of every row and column (and diagonal) must be zero, we must have ...
[tex]\left[\begin{array}{ccc}2-x&-4&x+2\\-2&0&2\\x&4&x-2\end{array}\right][/tex]
In order to make the bottom row and/or right column add to zero, we must have ...
x + 4 + (x-2) = 0
2x +2 = 0
x +1 = 0
x = -1
Then the square becomes ...
[tex]\left[\begin{array}{ccc}3&-4&1\\-2&0&2\\-1&4&-3\end{array}\right][/tex]
