Posted by Farrah on Monday, October 24, 2011 at 10:08pm.
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  Reiny, Monday, October 24, 2011 at 10:39pm
if b^2  4ac < 0 > no real zeros
if b^2  4ac = 0 > one real zero
ifb^2  4ac > 0 > two real zeros
if will do the 2nd question.
a=4, b= 2k3 , c = 1
b^2  4ac
= (2k3)^2  4(4)(1)
= 4k^2  12k + 9  16
= 4k^2  12k  7
= (k + 1)(4k  7)
(k+1)(4k7) > 0 for 2 real roots
k < 1 OR k > 7/4
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