SOLUTION: Find all the positive values for k for which each of the following can factored.
x^2+x-k.
please explain to me how to solve this problem and thank you in advance.
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Polynomials-and-rational-expressions
-> SOLUTION: Find all the positive values for k for which each of the following can factored.
x^2+x-k.
please explain to me how to solve this problem and thank you in advance.
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Question 101252: Find all the positive values for k for which each of the following can factored.
x^2+x-k.
please explain to me how to solve this problem and thank you in advance. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Find all the positive values for k for which each of the following can factored.
x^2+x-k.
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I will assume this means "factored in the Real Number System".
You have a quadratic with a=1,b=1,c=-k
The discriminant is b^2-4ac
The quadratic has Real Number roots (and therefore Real Number
factors) if b^2-4ac>=0
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So 1^2-4*1*(-k)>=0
1+4k>=0
4k<=1
k<=1/4
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The quadratic will have Real Number factors if k<=1/4
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Cheers,
Stan H.
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