SOLUTION: What two numbers multiply to get 2205 and Subtract to get 4?

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Question 681664: What two numbers multiply to get 2205 and Subtract to get 4?
Found 2 solutions by Alan3354, mathgotserved:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What two numbers multiply to get 2205 and Subtract to get 4?
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n*(n-4) = 2205
--> n = 45, 49
or -49, -45
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Or do it like this:
sqrt(2205) =~ 47, the center
47 - 2 = 45
47 + 2 = 49
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Same for -47

Answer by mathgotserved(25) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system
xy=2205
x-y=4.
from the first we get y=2205/x
plug that into the second we get
x-2205/x=4 multiply by 4
x^2-2205=4x
x^2-4x-2205=0
factor
(x-49)(x+45)=0
x-49=0 or x+45=0
x=49 or x=-45
The numbers are 49 and 45