Posted by **Neha** on Sunday, October 21, 2012 at 7:23pm.

determine the value of k for which the fuction f(x)=4x^2-3x+2kx+1 has 2 zeros.

- Math -
**Reiny**, Sunday, October 21, 2012 at 9:24pm
To have 2 zeros, or two real solutions, the discriminant must be positive

for 4x^2 - 3x + 2kx + 1

a = 4

b = 2k-3

c = 1

b^2 - 4ac > 0

(2k-3)^2 - 4(4)(1) > 0

4k^2 - 12k -7 > 0

(2k + 1)(2k - 7) > 0

**k < -1/2 OR k > 7/2**

You might want to put that into the interval notation you have been taught.

## Answer this Question

## Related Questions

- math grade 11 - Determine the value of k for which the function f(x)= 4x^2- 3x+...
- Math - Determine the values of k for which the function f(x)=4x^2-3x+2kx+1 has 2...
- Math - For what values of k does the function f(x)=(k+1)x^2+2kx+k-1 have no ...
- Math - For what values of k will the functon f(x)=kx^2-4x+k have no zeros ...
- math - Determine the values of k for which the function f(x)= 4x^2-3x+2kx+1 has ...
- math - Determine the values of k for which the function f(x)= 4x^2-3x+2kx+1 has ...
- math - Determine the values of k for which the function f(x)=4x^2-3x+2kx+1 has ...
- math grade 11 - I need help with this question determine the values in k for ...
- math grade 11 - I need help with this question determine the values in k for ...
- Math - Q.1)If one zero of the polynomial 3x2-kx-2 is 2 find the other zero.allso...