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

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

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

Let us consider an equation f(x) = x^(3)-3x +k=0 .then the values of k for which the equation has Exactly one root which positive , then k belongs to

Let us consider an equation f(x) = x^(3)-3x +k=0 .then the values of k for which the equation has Exactly one root which positive , then k belongs 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 .

For what values of k, the equation x^2+2(k-4) x + 2k=0 has equal roots?

If -2 is a root of the equation 3x^(2)+7x+p=0, find the value of k so that the roots of the equation x^(2)+k(4x+k-1)+p=0 are equal.

The function f(x) is defined by f(x)=cos^(4)x+K cos^(2)2x+sin^(4)x, where K is a constant.If the function f(x) is a constant function,the value of k is