Question

WORTH OF 60 POINTS

In a magic square each row adds up to the same total, what value of m , makes this a magic square?

{ 1 } {-10 } [-2 }
{ 5 } { 4m} { 4 }
{-17} { 19} {-13}

Answer 1

m=-5

Explanation:

Note:

A magic square is a square grid of numbers with the property that the sum of the numbers in each row, each column, and each diagonal is the same. The magic constant is the value of this sum.

Solution:

In order to determine the value of "m" that would make the given square a magic square.

We need to calculate the sum of each row and ensure they all add up to the same total.

Let's calculate the sums for each row:

• Row 1: 1 + (-10) + (-2) = -11
• Row 2: 5 + 4m + 4 = 9 + 4m
• Row 3: -17 + 19 + (-13) = -11

Since we want each row to have the same total, the sums of all rows should be equal.

• Therefore, we can equate the sums:

-11 = 9 + 4m = -11

• Simplifying the equation:

9 + 4m = -11

• Subtracting 9 from both sides:

4m = -11-9

4m=-20

• Dividing both sides by 4:

m=-20/5

m = -5

So, the value of "m" that would make this a magic square is -5.