SOLUTION: Could you help me about this? For what value of K will the equation (2-k).x^2+(1-k).2x+(k-1) be a perfect square?

SOLUTION: Could you help me about this? For what value of K will the equation (2-k).x^2+(1-k).2x+(k-1) be a perfect square?

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Question 202021: Could you help me about this?
For what value of K will the equation (2-k).x^2+(1-k).2x+(k-1) be a perfect square?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
I think k = 1 should do it.
then all the variables cancel out except x^2.
equation becomes:
(2-1)*k^2 + (1-1)*2x + (1-1)
which becomes
k^2 + 0 + 0
which becomes
k^2

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