Question

find two numbers whose sum is 15 and whose product is 44. write the answers as integers or simplified fractions.

Answer 1

• 4 and 11

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Set up a system of equations using the given information:

• 1) x + y = 15
• 2) xy = 44

First, we can solve equation (1) for one of the variables, such as x:

• x = 15 - y

Substitute this expression for x into equation (2):

• (15 - y)y = 44
• 15y - y² = 44
• y² - 15y + 44 = 0

By factoring the quadratic equation, we get:

• (y - 4)(y - 11) = 0

So, the possible values for y are 4 and 11, so as x values (11 or 4).