SOLUTION: Find all integers b for which a^2 + ba - 50 can be factored.

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Question 238518: Find all integers b for which a^2 + ba - 50 can be factored.
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find all integers b for which a^2 + ba - 50 can be factored.
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Need two numbers whose product is -50 and whose sum is "b":
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Products are
1*-50 with sum = b = -49
-1*50 with sum = b = 49
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2*-25 with sum = b = -23
-2*25 with sum = b = 23
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-5*10 with sum = b = 5
5*-10 with sum = b = -5
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Those are the possible values of b if
you limit b to being an integer.
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Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


-1 + 50 = 49
1 - 50 = -49
-2 + 25 = 23

and so on until you have considered all of the integer factors of -50


John