- #1
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Homework Statement
Solve 2kx^2 - (k+1)x + 4 by completing the square
Homework Equations
2kx^2 - (k+1)x + 4
The Attempt at a Solution
What I have so far:
-> x^2 - (k+1/2k)x + 4/2k = 0
-> x^2 - (k+1/2k)x + ((k+1/2k)/2)^2 - ((k+1/2k/2)^2 + 2k = 0
-> x^2 - (k+1/2k)x + (k+1/4k)^2 - (k+1/4k)^2 + 2k = 0
-> x^2 - (k+1/2k)x + (k^2+1/16k^2) - (k^2+1/16k^2) + 2k = 0
-> (x - (k+1/4k))^2 = (k^2+1/16k^2) + 2k
What next?
Thank you