Respuesta :

Fill in each slot in the square with variables a, b, c, d, and e, in order from left-to-right, top-to-bottom. In a magic square, the sums across rows, columns, and diagonals all add up to the same number called the magic sum.

The magic sum is -3.9, since "diagonal 2" (bottom left to top right) has all the information we need:

3 + (-1.3) + (-5.6) = -3.9

Use this to find the remaining elements

  • row 1:

a + b + (-5.6) = -3.9

  • row 2:

c + (-1.3) + d = -3.9

  • row 3:

3 + e + 0.02 = -3.9

  • column 1:

a + c + 3 = -3.9

  • column 2:

b + (-1.3) + e = -3.9

  • column 3:

(-5.6) + d + 0.02 = -3.9

  • diagonal 1 (top left to bottom right):

a + (-1.3) + 0.02 = -3.9

You will find

a = -2.62

b = 4.32

c = -4.28

d = 1.68

e = -6.92