SOLUTION: 1. Product is -220. Sum is -12. What are the 2 numbers? 2. Product is 264. Sum is -34. What are the 2 numbers? 3. Product is -462. Sum is -1. What are the 2 numbers?

Algebra ->  Sequences-and-series -> SOLUTION: 1. Product is -220. Sum is -12. What are the 2 numbers? 2. Product is 264. Sum is -34. What are the 2 numbers? 3. Product is -462. Sum is -1. What are the 2 numbers?      Log On


   

Question 770821: 1. Product is -220. Sum is -12. What are the 2 numbers?
2. Product is 264. Sum is -34. What are the 2 numbers?
3. Product is -462. Sum is -1. What are the 2 numbers?
Found 2 solutions by oscargut, Jc0110:
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
Product is -220. Sum is -12. . What are the 2 numbers?
Answer: -10 and 22
Product is 264. Sum is -34. . What are the 2 numbers?
Answer: 12 and -22
Product is -462. Sum is -1. What are the 2 numbers?
Answer: 21 and -22
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Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
1.
xy=-220
x=-220%2Fy --> Equation 1 ... Substitute x=-220%2Fy into Equation 2
x%2By=-12 --> Equation 2
-220%2Fy%2By=-12
y%2A%28-220%2Fy%29%2By%2A%28y%29=y%2A%28-12%29
y%5E2%2B12y-220=0
%28y%2B22%29%28y-10%29=0
y=-22 or y=10
When y=-22,
x=-220%2F-22=x=10
When y=10,
x=-220%2F10=x=-22
Therefore, the two numbers are -22 and 10.
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2. (Use the same steps)
xy=264
x=264%2Fy --> Equation 1 ... Substitute x=264%2Fy into Equation 2
x%2By=-34 --> Equation 2
Therefore, the two numbers are -12 and -22.
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3. (Use the same steps)
xy=-462
x=-462%2Fy --> Equation 1 ... Substitute x=-462%2Fy into Equation 2
x%2By=-1 --> Equation 2
Therefore, the two numbers are -22 and 21.