SOLUTION: Find the value(s) of k so that x^2 + 4(k-1)x + 4k^2 = 0 has no real roots

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Question 324633: Find the value(s) of k so that x^2 + 4(k-1)x + 4k^2 = 0 has no real roots
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
In order for the quadratic to not have real roots, the discriminant must be less than zero.
D%3C0
b%5E2-4ac%3C0
%284%28k-1%29%29%5E2-4%281%29%284k%5E2%29%3C0
16%28k%5E2-2k%2B1%29-16k%5E2%3C0
16k%5E2-32k%2B16-16k%5E2%3C0
-32k%2B16%3C0
-32k%3C-16
highlight%28k%3E1%2F2%29