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2 integers have a sum of 6, and a product of -72. What are the numbers?

 May 11, 2021
edited by Guest  May 11, 2021
 #1
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2 integers have a sum of 6, and a product of -72. What are the numbers?  

 

12 & –6  

.

 May 11, 2021
edited by Guest  May 11, 2021
 #2
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2 integers have a sum of 6, and a product of -72. What are the numbers?

$a+b=6$

$ab=-72$

$a=6-b$

$6b - b^2 = -72$

$b^2 - 6b - 72 = 0$

$(b-12)(b+6)=0$

iff $b=12, a=-6$

iff $b=-6, a=12$

 

$\boxed{-6, 12}$

 May 11, 2021
edited by MathProblemSolver101  May 11, 2021

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