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

Guest May 11, 2021

edited by
Guest
May 11, 2021

#1**0 **

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

**12 & –6**

_{.}

Guest May 11, 2021

edited by
Guest
May 11, 2021

#2**0 **

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 $b=-6, a=12$

$\boxed{-6, 12}$

MathProblemSolver101 May 11, 2021