If alpha,betaa n dgamma are the roots of...

If `alpha,betaa n dgamma` are the roots of `x^2+8=0` then find the equation whose roots are `alpha^2,beta^2a n dgamma^2` .

A

`x^(3) - 8 = 0`

B

`x^(3) - 16 = 0`

C

`x^(3) + 64 = 0`

D

`x^(3) - 64 = 0`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

QUADRATIC EXPRESSIONS AND EQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos
QUADRATIC EXPRESSIONS AND EQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|22 Videos
PROBABILITY
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos
SEQUENCES AND SERIES
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

If alpha,betaa n dgamma are the roots of x^3+8=0 then find the equation whose roots are alpha^2,beta^2a n dgamma^2 .

If alpha ,beta,gamma are the roots of x^3 -7x +6=0 then find the equation whose roots are (alpha-beta)^2 ,(beta-gamma)^2,(gamma-alpha)^2

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

If alpha, beta are the roots of x^(2)+x+1=0 , then the equation whose roots are alpha^(5), beta^(5) is

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

If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, then equation whose roots are alpha^(2),beta^(2),gamma^(2) is

If alpha, beta are the roots of x^(2)+6x+9=0 , then the equation whose roots are (1)/(alpha), (1)/(beta) is

If alpha , beta , gamma are the roots of x^3 +4x^2 -2x -3=0 then find the equation whose roots are (alpha)/(3), ( beta)/(3) , ( gamma)/(3) .

If alpha,beta are the roots of lthe equation 2x^2-3x-6=0, find the equation whose roots are alpha^2+2a n dbeta^2+2.

Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation whose roots are (alpha+1//beta)a n d(beta+1//alpha) .

OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise

If alpha ne beta but alpha^(2)= 5 alpha - 3 and beta ^(2)= 5 beta...
Text Solution
|
The expression y = ax^2+ bx + c has always the same sign as of a if (A...
Text Solution
|
If alpha,betaa n dgamma are the roots of x^2+8=0 then find the equatio...
Text Solution
|
Given that a x^2+b x+c=0 has no real roots and a+b+c<0, then c!=0 b. c...
Text Solution
|
If x in R, then the expression 9^(x) - 3^(x) + 1 assumes
Text Solution
|
The values of 'a' for which the roots of the equation x^(2) + x + a = ...
Text Solution
|
Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation wh...
Text Solution
|
The roots alpha, beta and gamma of an equation x^(3) - 3 a x^(2) + 3 b...
Text Solution
|
If b and c are odd integers, then the equation x^2 + bx + c = 0 has-
Text Solution
|
If the equations a x^2+b x+c=0 and x^3+3x^2+3x+2=0 have two common roo...
Text Solution
|
If both the roots of the equation ax^(2) + bx + c = 0 are zero, then
Text Solution
|
If alpha, beta , gamma, delta are the roots of the equation x^4+x^2+1=...
Text Solution
|
The number of real roots of (x+1/x)^3+x+1/x=0 is
Text Solution
|
The roots of the equation (3 - x)^(4) + (2 - x)^(4) = (5 - 2x)^(4) are
Text Solution
|
The real roots of the equation |x|^3-3x^2+3|x|-2=0 are
Text Solution
|
The number of positive integral roots of x^(4) + x^(3) - 4 x^(2) + x +...
Text Solution
|
If x, y, z are real and distinct, then x^(2) + 4 y^(2) + x + 1 = 0, is
Text Solution
|
The number of values of a for which equations x^3+a x+1=0 and x^4+a x^...
Text Solution
|
For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) hav...
Text Solution
|
the values of a for which (a^2-1)x^2+2(a-1)x+2 is positive for all rea...
Text Solution
|