Fill each box of the magic square, with a number such that the number adds up to 18 horizontally, vertically and diagonally? #[(, ,), (, ,), (, ,)]#

#[(7, ,), (, 6,), (, 10,)]#

Answer 1

Jeremiah Andrews

#[[7, 2, 9], [8, 6, 4], [3, 10, 5]]#

To meet the requirements, we can fill in the unknown squares one at a time:

#[[7, ?, ?], [?, 6, ?], [?, 10, ?]] -> [[7, ?, ?], [?, 6, ?], [?, 10, 5]] -> [[7, ?, ?], [?, 6, ?], [3, 10, 5]]#

#-> [[7, ?, ?], [8, 6, ?], [3, 10, 5]] -> [[7, ?, ?], [8, 6, 4], [3, 10, 5]] -> [[7, 2, ?], [8, 6, 4], [3, 10, 5]]#

#-> [[7, 2, 9], [8, 6, 4], [3, 10, 5]]#

Bonus

An example #4xx4# magic square is:

#[[1, 12, 7, 14], [8, 13, 2, 11], [10, 3, 16, 5], [15, 6, 9, 4]]#

This one adds up to #34# in each column, row, diagonal or #2xx2# block of cells.

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Answer 2

Roman Alvarez

The magic square can be filled as follows: [(6, 6, 6), (6, 6, 6), (6, 6, 6)]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.