Let `-1 le ple plt1.` Show that the equation `4x^(3)-3x-p=0` has a unique root in the interval `[1//2.1]` and identify it.

Let -1lt=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)

The equation 2x^(2)+3x+1=0 has an irrational root.

Without actually solving show that the equation x^(4)+2x^(3)-2=0 has only one real root in the interval (0,1) .

The range of a for which the equation x^2+ax−2=0 has its smaller root in the interval (−1,-3) is

Solve the equation 15x^3-23x^2+9x-1=0 . Where roots are in H . P

Find the roots of the equation x+(1)/(x)=3, x ne 0

The number of values of k for which the equation x^3-3x+k=0 has two distinct roots lying in the interval (0,1) is three (b) two (c) infinitely many (d) zero

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

If (1-p) is a root of quadratic equation x^(2)+px+(1-p)=0 then its roots are

One root of the equation (12x -1)(6x -1)(4x-1)(3x-1)=5 is