# What are two integers whose sum is -2 and product is -24 ?

### 5 Answers

- geezerLv 74 weeks ago
Just looking at -2 and -24 you can tell that only one of the integers is negative

and the only 2 integers that make 2 and 24 are 6 and 4

6 x 4 = 24 and 6 - 4 = 2

So, because it's -2 it must be 4 + (- 6)

So, the numbers are -6 and 4

- KrishnamurthyLv 74 weeks ago
Two integers whose sum is -2 and product is -24:

x + y = -2

xy = -24

x = -6, y = 4

- 4 weeks ago
a + b = -2

a * b = -24

a = -2 - b

(-2 - b) * b = -24

-(2 + b) * b = -24

b * (b + 2) = 24

b^2 + 2b = 24

b^2 + 2b + 1 = 24 + 1

(b + 1)^2 = 25

b + 1 = -5 , 5

b = -6 , 4

-6 and 4

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- Uncle PennybagsLv 74 weeks ago
That would be 4 and -6.

4+(-6)=-2

4x(-6)=-24

How I figured this out? To get -24, you need to multiple by 3 and 8 or 4 and 6, with one of those being a negative number.

No combo of 3 and 8 will give you a sum of -2, so it has to be 4 and 6. And to get a -2 sum, the larger number has to be -6.