Home
Class 12
MATHS
If alpha ,beta and gamma are the roots o...

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)`

Text Solution

Verified by Experts

The correct Answer is:
`-7`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.2 (VERY SHORT ANSWER QUESTIONS)|6 Videos
  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.2 (SHORT ANSWER QUESTIONS)|19 Videos
  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.1 (VERY SHORT ANSWER QUESTIONS)|18 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

Let , alpha ,beta,gamma be the roots of x^3+px^2+qx+r=0 . Then find the (i) sumalpha^2

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

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

Let alpha ,beta, gamma be the roots of x^3+px^2+qx+r=0 then find sumalpha^3

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

If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find the following : (i) alpha + beta + gamma (ii) alpha xx beta + beta xx gamma + gamma xx alpha (iii) alpha xx beta xx gamma

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

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