Home
Class 14
MATHS
If alpha,beta are the roots of 1+x+x^(2)...

If `alpha,beta` are the roots of `1+x+x^(2)=0` then the value of `alpha^(4)+beta^(4)+alpha^(-4)beta^(-4) =`

A

is divisible by ‘p’

B

is an integer

C

is a rational number

D

both (b) and (c)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of x^(2)-2x+4=0 then the value of alpha^(6)+beta^(6) is

If alpha, beta are roots of x^(2)-2x-1=0 , then value of 5alpha^(4)+12beta^(3) is

If alpha,beta are the roots of equation x^(2)+x-1-0 ,then the value of (alpha beta^(4)(beta+1)^(4)+beta alpha^(4)(alpha+1)^(4))/(alpha^(2)+beta^(2)+alpha+beta) is equal to:

If alpha and beta are the roots of 4x^(2) + 3x +7 =0 then the value of 1/alpha + 1/beta is

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

If alpha,beta are the roots of x^(2)+x+3=0 then 5 alpha+alpha^(4)+alpha^(3)+3 alpha^(2)+5 beta+3=

If alpha and beta are the roots of 4x^2+3x+7=0 , the value of 1/alpha^3+1/beta^3 is

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

If alpha and beta are two roots of x^(4)-x^(3)+1=0 then the value of (alpha^(3)(1-alpha))/(beta^(3)(1-beta))=

If alpha and beta are the roots of the equation x^(2)+3x-2(x+7)=0 then the values of alpha^(4)+beta^(4) is