Let `f(x) =4x^2 - 2x + k`, where `k in R` If roots of the equation `f(x)=0` lies on either sideof 0, then k can be equal to

Let f(x)=4x^(2)-2x+k where k in R If both roots of the equation f(x)=0 are positive,then k can be equal to

Let f(x)=4x^(2)-2x+k, where k in R If both roots of tho equation f(x)=0 lie in (-1,1) then k can be equal to

If the roots of the equation 4x^(3)-12x^(2)+11x+k=0 are in arithmetic progression, then k is equal to

Let f(x)=a^(x)+b^(x)+5 , where a,b are the roots of the equation x^(2)-3x+4=0 . If 4f(5)+f(7)-10=k f (6) , then find the value of k .

If the equation x^(2)+2(k+2)x+9k=0 has equal roots then k= ?

Let f(x)={x^(2)+k, when x>=0,-x^(2)-k, when x<0 } .If the function f(x) be continuous at x=0, then k=

What is the value of k if the equation x^(2) +4x +(k +2) = 0 has one root equal to zero .