Question 88851
Find all positive values for k for which each of the following can be factored.
x^2+x-k
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Assuming you mean "factoring in the Real Number System" b^2-4ac must be
greater than or equal to zero".
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Your problem:
a = 1; b=1; c=k
EQUATION:
1^2-4*1*k>=0
1-4k>=0
-4k>=-1
x <- 1/4
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Conclusion: x^2+x-k is factorable in the Real Number System as long 
as k<=1/4
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Cheers,
Stan H>