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 Exercise (Single Option Correct Type Questions)|34 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) - 3x + a = 0 has distinct roots between 0 and 1, then the value of a is

Prove that the equation x^(3) + x – 1 = 0 has exactly one real root.

The quadratic equation x^(2) - (m -3)x + m =0 has

If the equation 3x^(2) - 2x-3 = 0 has roots alpha , and beta then alpha.beta = "______" .

2x^(2) + 3x - alpha - 0 " has roots "-2 and beta " while the equation "x^(2) - 3mx + 2m^(2) = 0 " has both roots positive, where " alpha gt 0 and beta gt 0. The equation |1-x|+ x^(2) = 5 has

Show that there is no real number p for which the equation x^2 -3x + p =0 has two distinct roots in [0,1]

The equation x^(3) - 6x^(2) + 15 x + 3 = 0 has

2x^(2) + 3x - alpha - 0 " has roots "-2 and beta " while the equation "x^(2) - 3mx + 2m^(2) = 0 " has both roots positive, where " alpha gt 0 and beta gt 0. If alpha and beta are the roots of the equation 3x^(2) + 2 x + 1 = 0 , then the equation whose roots are alpha + beta ^(-1) and beta + alpha ^(-1)