Problema Solution

Find two integers that have a sum of -19 and a product of 48. What are the integers?

Answer provided by our tutors

Let 'x' and 'y' represent the two integers.

x + y = -19 follows y = - 19 - x

xy = 48

plug y = - 19 - x into xy = 48

x(-19 - x) = 48

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click here to see the equation solved for x

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x1 = -3

x2 = -16

For x = -3 we find y = -19 - (-3) = - 16.

For x = -16 we find y = - 19 - (- 16) = -3.

The two integers are -3 and -16.