Solving equations Pairs of numbers with equal sums and products Are there two numbers that have both a sum and a product of 4? Are there two numbers that have both a sum and a product of 5? Are there two numbers that have both a sum and a product of 3? In each case: If the answer is yes, describe how you found these numbers. - If such a pair of numbers does not exist, explain why. - Generelize the investigation: suggest a method for determining for every number whether it is both the sum and the product of a pair of numbers, and to find that pair if it exists.

The difference equation vertex form = constant quadratic function = constant The difference equation Carpenter's problem Playing fields Warm-up Table designs Isosceles triangles Cutting circles Pairs of numbers Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7