Posted by Annie on Wednesday, January 25, 2012 at 7:44pm.
to have two zeros, either real or complex,
b^2 - 4ac ≠ 0
4x^2 + x(2k - 3) + 1
discrim. = (2k-3)^2 - 4(4)(1)
= 4k^2 - 12k + 9 - 16
= 4k^2 - 12k - 7
to have only 1 root
4k^2 - 12k - 7 = 0
(2k - 7)(2k + 1) = 0
k = 7/2 or k = -1
So to have two roots, k ≠ 7/2 or k ≠ -1
So put any value of k other than those two and you will get 2 differentroots.
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