Alltop School

Problem of This Week

If the equation k$^{2}$x$^{2} +$ (2k $-$ 1)x +1 = 0 has two different roots, find the range of k.
(A) k > 0
(B) k $\ne $ 0
(C) k < $\frac{1}{4}$
(D) $-$$\frac{1}{4}$ < k < $\frac{1}{4}$
(E) k < $\frac{1}{4}$ and k $\ne $ 0

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