There are two solution: -3 and +2.
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Let's denote the number as x. The sum of the number and its square can be represented as x + x^2. Given that this sum is equal to 6, we can write the equation x + x^2 = 6. This is a quadratic equation that can be solved using algebraic methods to find the value of x.
6
The formula for finding the nth square number is n^2. Therefore, the 3rd square number is 3^2 = 9, and the 6th square number is 6^2 = 36. To find the sum of the 3rd and 6th square numbers, you add them together: 9 + 36 = 45. So, the sum of the 3rd and 6th square numbers is 45.
A normal 3x3 magic square has a sum of 15. So you subtract 3 from each number in the square.
To calculate 4 times the sum of a number and 6, you would first find the sum of the number and 6, then multiply that sum by 4. Let's represent the number as 'x'. So, the sum of the number and 6 would be x + 6. Multiplying this sum by 4 gives you the expression 4(x + 6), which simplifies to 4x + 24.
19