Home
Class 12
MATHS
The equation x^(3) - 3x + 1 = 0 has...

The equation `x^(3) - 3x + 1 = 0` has

A

atleast one root in `(-1,0)`

B

alteast one root in `(0,1)`

C

alteast two roots in `(-1,1)`

D

no roots in `(-1,1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|17 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|4 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Definite intefral Exercise 1 : Single Option Correct Type Questions|1 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

If the equation x^(3) +px +q =0 has three real roots then show that 4p^(3)+ 27q^(2) lt 0 .

Solve the given equation 3x^2 - x - 1 =0

Solve the equation 3x^2 + 2x - 1 = 0

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

If x_1, x_2 be the roots of the equation x^2 -3x+ A=0 and x_3,x_4 be those of the equation x^2-12x + B = 0 and x_1 , x_2, x_3, x_4 be an increasing GP. find find A and B.

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 -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.

Solve the given equation -2x^2 + 3x -4 = 0

Show that the equation x^(3)+2x^(2)+x+5=0 has only one real root, such that [alpha]=-3 , where [x] denotes the integral point of x

The equation e^x = m(m +1), m<0 has