Home
Class 12
MATHS
If alpha and beta are the roots of the e...

If `alpha and beta` are the roots of the equation `8x^2 - 3x + 27 = 0` then the value of `((alpha^2)/(beta))^(1/3) + ((beta^2)/(alpha))^(1//3)` is

A

`(1)/(6)`

B

`(3)/(2)`

C

`(1)/(4)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha,beta are the roots of the equation 8x^2-3x+27=0, then the value of (alpha^2/beta)^(1/3)+(beta^2/alpha)^(1/3) is

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

If alpha and beta are roots of the equation 2x^(2)-3x-5=0 , then the value of (1)/(alpha)+(1)/(beta) is

If alpha and beta are roots of the equation x^(2)-2x+1=0 , then the value of (alpha)/(beta)+(beta)/(alpha) is

If alpha and beta are roots of the equation px^(2)+qx+1=0 , then the value of alpha^(3)beta^(2)+alpha^(2)beta^(3) is

If alpha and beta are the roots of the equations x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+beta^(2)alpha^(-2)

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

If alpha and beta are the roots of the equation x^2-px + q = 0 then the value of (alpha+beta)x -((alpha^2+beta^2)/2)x^2+((alpha^3+beta^3)/3)x^3+... is

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alpha and beta are the roots of the equation 2x^(2) - 3x + 4 = 0 , then alpha^(2) + beta^(2) = ____