SOLUTION: I have learned how to completely factor polynomials such as: x^2+7x-30 (x+10)(x-3) but I get lost when there are variables instead of number. I need to find all the positiv

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Question 73374: I have learned how to completely factor polynomials such as:
x^2+7x-30
(x+10)(x-3)
but I get lost when there are variables instead of number. I need to find all the positive values for "k" in this problem:
x^2+x-k

Answer by psbhowmick(878)   (Show Source): You can put this solution on YOUR website!

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This can be factorised if is a perfect square.
Thus, those positive values of k which render a perfect square are the reqd. values of k.
So, k = 2, 6, 12, 20, 30, etc.

[Note that the difference between the consecutive terms form an A.P.: 4,6,8,10,.... ]

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