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

to have two zeros, either real or complex,
b^2  4ac ≠ 0
4x^2 + x(2k  3) + 1
discrim. = (2k3)^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.
Respond to this Question
Similar Questions

Math
Q.1)If one zero of the polynomial 3x2kx2 is 2 find the other zero.allso find the value of k. Q.2)If sum of the zeroes of the polynomial x2xk(2x1) is 0,find the value of k Q.3)If 2 and 3 are the zeroes of the polynomial 3x22kx+2m … 
Math
For what values of k does the function f(x)=(k+1)x^2+2kx+k1 have no zeros? 
math grade 11
I need help with this question determine the values in k for which the function f(x)= 4x^23x+2kx+1 has two zeros. Check these values in the original equation. i don't get how to do it please help me. 
math grade 11
I need help with this question determine the values in k for which the function f(x)= 4x^23x+2kx+1 has two zeros. Check these values in the original equation. i don't get how to do it please help me. 
math grade 11
Determine the value of k for which the function f(x)= 4x^2 3x+2kx+1 has two zeros. check these values in the original equation? 
Math
Determine the values of k for which the function f(x)=4x^23x+2kx+1 has 2 zeros 
Math
For what values of k will the functon f(x)=kx^24x+k have no zeros Determine the values of k for which the function f(x)=4x^23x+2kx+1 have 2 zeros 
math
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. 
math
Determine the values of k for which the function f(x)= 4x^23x+2kx+1 has two zeros , check these values in the original equation 
Maths
Determine the values of K such that the quadratic equation x^2 + 2Kx  3K =0 has equal roots Thankyou