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Question 83583: I need to find all of the positive values for k for which each of the following can be factored.
xsquared+x-k
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! find all of the positive values for k for which each of the following can be factored.
xsquared+x-k
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x^2+x-k
a=1,b=1,c=-k
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Comments: The quadratic will be factorable with Real Number factors
if b^2-4ac is greater than or equal to zero.
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Consider b^2-4ac >=0
1^2-4(1)(-k)>=0
1+4k>=0
4k>=-1
k>=-1/4
Factorable with Real Number factors when k>=(-1/4)
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If you want k to be positive, let k>0.
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Cheers,
Stan H.
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