Home
Class 12
MATHS
If the equation 2x^(4)+x^(3)-2x-1=0 has ...

If the equation `2x^(4)+x^(3)-2x-1=0` has two real roots `alpha` and `beta`, then between `alpha` and `beta` the equation `8x^(3)+3x^(2)-2=0` has -

A

no root

B

at least one root

C

exactly one root

D

atmost two roots

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3B (Very Short Answer Type Questions)|33 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3B (Short Answer Type Questions)|18 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3A ( Long Answer Type Questions)|50 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

If the equation x^(2)+y^(2)-10x+21=0 has real roots x=alphaandy=beta then

x(x-3)=4,has two roots alpha and beta then alpha^2+beta^2=?

Suppose that the equation f(x)=x^(2)+bx+c=0 has two distinct real roots alpha and beta . The angle between the tangent to the curve y=f(x) at the point ((alpha+beta)/(2),f((alpha+beta)/(2))) and the positive direction of the x -axis is-

Roots of the equation 3x^2 -6x+4=0 are alpha and beta then find the value of alpha^2 beta + alpha beta^2

Roots of the equation 3x^2 -6x+4=0 are alpha and beta then find the value of alpha^3 +beta^3

If the roots of equation 5x^2-3x+6=0 are alpha and beta then find the value of 1/alpha+1/beta

If one root of the equation x^2 - ax + b = 0 be alpha and beta , then the value of (1)/(alpha) + (1)/(beta) is

IF alpha,beta be the roots of the equation x^2+x+1=0 , form the equation whose roots are alpha/beta and beta/alpha . Explain why you get the same equation as the given one.

Find cos(alpha+beta) if tan(alpha/2) and tan (beta/2) are roots of the equiation 8x^2-26x+15=0

IF the roots of the equation 3x^2+8x+2=0 are alpha,beta then (1/alpha+1/beta) =