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3x3 Magic Square Solution

Solution: Here’s a completed 3x3 magic square where each row, column, and diagonal adds up to 15:

2 7 6
9 5 1
4 3 8
  • Rows:
  • \( 2 + 7 + 6 = 15 \)
  • \( 9 + 5 + 1 = 15 \)
  • \( 4 + 3 + 8 = 15 \)

  • Columns:

  • \( 2 + 9 + 4 = 15 \)
  • \( 7 + 5 + 3 = 15 \)
  • \( 6 + 1 + 8 = 15 \)

  • Diagonals:

  • \( 2 + 5 + 8 = 15 \)
  • \( 6 + 5 + 4 = 15 \)

Verification:

  • Rows:
    \( 2 + 7 + 6 = 15 \)
    \( 9 + 5 + 1 = 15 \)
    \( 4 + 3 + 8 = 15 \)

  • Columns:
    \( 2 + 9 + 4 = 15 \)
    \( 7 + 5 + 3 = 15 \)
    \( 6 + 1 + 8 = 15 \)

  • Diagonals:
    \( 2 + 5 + 8 = 15 \)
    \( 6 + 5 + 4 = 15 \)

This arrangement satisfies all the conditions of a magic square!