If alpha, beta and 1 are the roots of x^...

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

Verified by Experts

The correct Answer is:

`3,-2`

THEORY OF EQUATIONS
AAKASH SERIES|Exercise EXERCISE -2.1 (SHORT ANSWER QUESTIONS)|16 Videos
THEORY OF EQUATIONS
AAKASH SERIES|Exercise EXERCISE -2.2 (VERY SHORT ANSWER QUESTIONS)|6 Videos
THEORY OF EQUATIONS
AAKASH SERIES|Exercise EXAMPLES|5 Videos
SYSTEM OF CIRCLES
AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos
TRANSFORMATIONS AND INDENTITIES
AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta, 1 are the roots of x ^(3) - 2x ^(2) - 7x + 6 =0, then find alpha, beta.

If alpha ,beta and gamma are the roots of x^3-2x^2+3x-4 =0 , then find (i) sumalpha^2beta^2 (ii)sumalpha beta(alpha+beta)

If alpha , beta ,1 are roots of x^3 -2x^2 -5x +6=0 ( alpha gt 1) then 3 alpha + beta=

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^2 beta + sum alpha beta ^2

If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =

If alpha,beta,gamma are the roots of 4x^3-6x^2+7x+3=0 then find the value of alpha beta +beta gamma+gamma alpha .

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

If alpha , beta , gamma are the roots of 2x^3 -2x -1=0 the sum ( alpha beta)^2 =

If alpha,beta, gamma are the roots of 4x^(3) - 6x^(2) + 7x + 3 = 0 then alpha beta + alpha beta + alpha gamma =

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