Problems say The sums and products of pairs of integers are given. find each paor of integers.

sum = -12, product = 36

sum = -12, product = 35

sum = -12, product = 32

sum = -12, product = 11

sum = -12, product = 0

please help... I cant do this

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- October 17th 2005, 02:47 PM #1stephaniekGuest
## Need Help????

Problems say The sums and products of pairs of integers are given. find each paor of integers.

sum = -12, product = 36

sum = -12, product = 35

sum = -12, product = 32

sum = -12, product = 11

sum = -12, product = 0

please help... I cant do this

- October 17th 2005, 03:46 PM #2
## 2 equations 2 unknowns

Well the long way would be to solve algebraicaly two equations with two unknowns like this:

x+y=-12

x*y=36

solve the first eq for x:

x=-12-y

now sub it into eq 2

(-12-y)(y)=36

-12y-y^2=36

-y^2-12y-36=0

y^2+12y+36=0

(y+6)(y+6)=0

y=-6

now sub into either eq and solve for x

The short way to do it is just by looking at it.

1. -6,-6

2. -7,-5

4. -8,-4

5. -11,-1

6. -12,0