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ANSWER: 12 and -6

x * y = 72

x = 72/y Equation 1

x + y = 6 Equation 2

Substitute Eq.1 to Eq.2

-72/y + y = 6

multiply both sides of the equation by y

y (-72/y + y ) = 6* y

-72 + y2 = 6y

y2 - 6y - 72 = 0

(y- 12) (y + 6) = 0

y = 12 ; y = -6

x =-12 ; x = 12

Take x = 12 and y = -6

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Q: What are 2 integers whose product is -72 and whose sum is 6?
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