Home
Class 12
MATHS
Find the value of a if x^3-3x+a=0 has th...

Find the value of `a` if `x^3-3x+a=0` has three distinct real roots.

Text Solution

Verified by Experts

The correct Answer is:
`-2ltalt2`
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|27 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|16 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|15 Videos

  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Find the value of k if x^3-3x+a=0 has three real distinct roots.

Find the value of k if x^3-3x+k=0 has three real distinct roots.

Draw the graph of f(x)=log_(e)(sqrt(1-x^(2))) .Find the range of the function .Also find the values of k if f(x) has two distinct real roots.

Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0 and qgt0 . Then find the max and min points .

Find the values of k for which the equation x^2-4x+k=0 has distinct real roots.

The real number k for which the equation, 2x^3+""3x""+""k""=""0 has two distinct real roots in [0, 1] (1) lies between 2 and 3 (2) lies between -1 and 0 (3) does not exist (4) lies between 1 and 2

The real number k for which the equation, 2x^3+""3x""+""k""=""0 has two distinct real roots in [0, 1] (1) lies between 2 and 3 (2) lies between -1 and 0 (3) does not exist (4) lies between 1 and 2

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

Find the values of k for which the given equation has real roots: 9x^2+3k x+4=0

Find the values of k for which the given equation has real roots: k x^2-6x-2=0