SOLUTION: Find two numbers that add to 3 and multiply to -40. (Enter the two numbers separated by a semicolon.) Thanks.

Algebra ->  Systems-of-equations -> SOLUTION: Find two numbers that add to 3 and multiply to -40. (Enter the two numbers separated by a semicolon.) Thanks.      Log On


   

Question 986027: Find two numbers that add to 3 and multiply to -40.
(Enter the two numbers separated by a semicolon.)
Thanks.
Found 2 solutions by Alan3354, macston:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find a pair of factors of 40 that differ by 3.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
x and y are the two numbers
.
x+y=3
x=3-y Use this to substitute for x.
.
%28x%29%28y%29=-40 Substitute for x from above.
%283-y%29%28y%29=-40
-y%5E2%2B3y=-40
-y%5E2%2B3y%2B40=0
%28-y%2B8%29%28y%2B5%29=0
-y%2B8=0 OR y%2B5=0
y=8 OR y=-5
If y=8, x=-5; if y=-5,x=8
ANSWER The two numbers are 8 and -5.