Verified answer

Statement:

The sum of two numbers is 14, their product is 33. Find the numbers .

Representation:

• Let x and y be the two numbers.

Equation:

• x + y = 14
• xy = 33

• x + y = 14
• xy = 33

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• x = 14 - y
• xy = 33
• (14 - y)(y) = 33
• 14y - y² = 33
• 0 = y² - 14y + 33
• 0 = (y - 11)(y - 3)
• y - 11 = 0, y - 3 = 0
• y = 11, y = 3

• The two numbers are 11 and 3.