Home
Class 12
MATHS
Let -1leple1, show that the equation 4x^...

Let `-1leple1`, show that the equation `4x^(3)-3x-p=0` has a unique root in the interval `[1/2,1]` and identify it.

A

`(cos^(-1)p)/(3)`

B

`cos((1)/(3)cos^(-1)p)`

C

`cos(cos^(-1)p)`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

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.

The equation 3x^(2)+4ax+b=0 has atleast one root in (0, 1) if :

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 :

The number of values of 'k' for which the equation x^(2) - 3x + k = 0 has two distinct roots lying in the interval (0,1) is :

If the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, find the values of a and b.

If a in Z and the equation (x-3)(x-a)+1=0 has integral roots, then the value of ' a ' are

Show that the equation 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 has no real roots when a!=b .

The real number k for which the equation : 2x^(3)+3x+k=0 has two distinct real roots in [0, 1] :

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

Solve the equation (12x-1)(6x-1)(4x-1)(3x-1)=5