Let `-1lt=plt=1` . Show that the equation `4x^3-3x-p=0` has a unique root in the interval [1/2,1] and identify it.

Let -1<=p<1. Show that the equation 4x^(3)-3x-p=0 has a unique root in the interval [(1)/(2),1] and identify it.(2001,4M)

Let- 1<=p<1 show that the equation 4x^(3)-3x-p=0 has a unique root in the interval [(1)/(2),1]

Show that the equation x^(5)-3x-1=0 has a unique root in [1,2] .

For -1<=p<=1, the equation 4x^(3)-3x-p=0 has 'n' distinct real roots equation in the interval [(1)/(2),1] and one its root is cos(k cos^(-1)p), then the value of n+(1)/(k) is :

If both the roots of the equation 4x^(2)-2x+m=0 lie in the interval (-1, 1) , then

A root of the equation 4x^(3)+2x^(2)-3x-1=0 is

If 4x^(3)-3x-p=0,where-1leple1 has unique root in [(1)/(2),1], then the root is