SOLUTION: How do I do this? Find all positive values for k for which each of the following can be factored. x^2 + x – k

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I do this? Find all positive values for k for which each of the following can be factored. x^2 + x – k       Log On


   

Question 77417: How do I do this?
Find all positive values for k for which each of the following can be factored.
x^2 + x – k

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
It can always be factored using the quadratic formula.
b^2-4ac for your problem = 1^2-4k=1-4k
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If 1-4k<0 the factors will contain complex numbers.
If 1-4k>=0 the factors will contain Real numbers.
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Do your instructions tell you there is a limitation
on the factors?
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Cheers,
Stan H.