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5-81.

Copy and complete each of the Diamond Problems below. The pattern used in the Diamond Problems is shown below.

Generic Diamond Problem. One number, X, is located on the left side. The second number, Y, is located on the right side.  The bottom number is the sum of the two numbers, X and Y. The top number is the product of the two numbers, X and Y.

  1. What are the product and sum of and ?

  1. Which two numbers have a product of and a sum of ?

    Since the sum is , one number must be negative and one must be positive, but both numbers must have the same magnitude.