Home
Class 12
MATHS
Let alpha,beta,gamma be the roots of ...

Let` alpha,beta,gamma` be the roots of
`x^3+ax^2+bx+c=0` then find `sum alpha^2beta+sumalphabeta^2`.

Text Solution

Verified by Experts

The correct Answer is:
`therefore sum alpha^2beta+sumalphabeta^2=3c-ab`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -4(a)|23 Videos
  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -4(b)|24 Videos
  • SYSTEM OF CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(b)|23 Videos

Similar Questions

Explore conceptually related problems

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

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 +px^2 +qx +r=0 then find sum alpha^2 beta^2

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

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum (1)/( alpha )

If alpha, beta, gamma are roots of x^(3) + ax^(2) + bx + c = 0 then sum alpha^(2) beta =

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

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

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

If alpha, beta, gamma are the roots of the equation x^(3) - ax^(2) + bx -c = 0 , then sum alpha^(2) (beta + gamma)=