math
posted by ashvini .
Determine the values of k for which the function f(x)=4x^23x+2kx+1 has two zeros. Check these values in the orginal equation.

If there are two distinct roots, the determinant is positive:
(3+2k)^2  4(4)(1) > 0
9  12k + 4k^2  16 > 0
4k^2  12k 7 > 0
(2k+1)(2k7) > 0
Either both factors are positive or both are negative
k < 1/2 or k > 7/2