For a R, let f(z)=z5-5z+a. Select the correct statement for satisfyi – McqOptions

MCQOPTIONS

1.	For a R, let f(z)=z5-5z+a. Select the correct statement for satisfying f( )=0.
A.	has exactly three possible real values for a>4
B.	has exactly one possible real value for a>4
C.	has exactly three possible real values for a<-4
D.	has exactly one possible real value for -4<a<4
Answer» C. has exactly three possible real values for a<-4

Discussion

No Comment Found

Related MCQs

Let f(z)=z4+a1z3+a2z2+a3z+a4=0; a1, a2, a3, a4 being real and non-zero. If f has a purely imaginary root, then what is the value of the expression a3/(a1a2)+ a1a4/(a2a3) ?
For a R, let f(z)=z5-5z+a. Select the correct statement for satisfying f( )=0.
Let f(z)=&vert;1 z&vert;, if zk=cos(2k /10)+isin(2k /10), then find the value of f(z1) f(z2) f(z9).
Consider a function f(z) of degree two, having real coefficients. If z1 and z2 satisfying f(z1)=f(z2)=0 are such that Re z1=Re z2=0 and if z3 satisfies f(f(z3))=0, then select the correct statement.
Let f(z)=&vert;z&vert;2+Re z(2(z+z )+3(z-z )/2i, the find the maximum value of &vert;z&vert;2/f(z).
Find the range of the function defined by f(z)=Re[2iz/(1-z2)].
Define f(z)=z2+bz 1=0 and g(z)=z2+z+b=0. If there exists satisfying f( )=g( )=0, which of the following cannot be a value of b?
Let f(z)=arg 1/(1 z), then find the range of f(z) for &vert;z&vert;=1, z 1.
Let x, y, z be integers, not all simultaneously equal. If is a cube root of unity with Im( ) 1, and if f(z)=az2+bz+c, then find the range of &vert;f( )&vert;.
For all complex numbers z satisfying Im(z) 0, if f(z)=z2+z+1 is a real valued function, then find its range.