Consider `f(x)=|x^(2)-5x+4|,` the value of `4 alpha` for `f(x)=alpha` has `3` solutions is

Let f(x)=(alpha x)/(x+1) Then the value of alpha for which f(f(x)=x is

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-5x+4 , find the value of (1)/(alpha)+(1)/(beta)-2 alpha beta

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-x-4, find the value of (1)/(alpha)+(1)/(beta)-alpha beta

Consider f(x)=x^(2)-| alpha|x-| beta| and g(x)=log_(| alpha|)((x)/(b))^(2)-1 If f(x)=0 has roots a and b such that |a| 1+| alpha| then

Let g(x)=x^(2)-2x-2 and f(x)=x^(2)+x+alpha . If f(g(x))=0 has no real solution then the set of values of alpha is.

If alpha and beta are the zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 , then find the value of ((alpha)/(beta) + (beta)/(alpha)) .

consider the function f(X) = 3x^(4)+4x^(3)-12x^(2) The range of values of a for which f(x) = a has no real

If alpha and beta are the zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 then find the value of ((alpha)/(beta)+(beta)/(alpha)) .

If alpha and beta are zeroes of the quadratic polynomial f(x) =3x^(2)-5x-2 , then find the value of ((alpha^(2))/(beta)+(beta^(2))/(alpha))+6(alpha+1)(beta+1) .