Home
Class 10
MATHS
If alpha, beta are the roots of x^2-px+q...

If `alpha, beta` are the roots of `x^2-px+q=0` then `alpha^3+beta^3=….`

A

`p+q^3`

B

`p-3p^3q`

C

`p^3-3pq`

D

`p^2-3pq`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    BEYOND PUBLICATION|Exercise EXAMPLE|135 Videos
  • PROGRESSIONS

    BEYOND PUBLICATION|Exercise EXERCISE|259 Videos
  • QUESTION PAPER

    BEYOND PUBLICATION|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta are the roots of 3x ^2 -5x+7=0 then alpha ^3 + beta ^3=

If alpha, beta are the roots of x^(2)-px+q=0 then (alpha+beta)x-(alpha^(2)+beta^(2))(x^(2))/(2)+(alpha^(3)+beta^(3))(x^(3))/(3)-….oo=

IF alpha , beta are the roots of ax ^2 + bx +c=0 then (alpha ^3 + beta ^3)/(alpha ^(-3) + beta ^(-3)) =

If alpha and beta are the roots of x^2-2x+3=0 then alpha^2beta+ beta^2 alpha =….

If alpha, beta, gamma are the roots of x^(3)+px+q=0 then |(alpha, beta, gamma),(beta, gamma, alpha),(gamma, alpha, beta)|=

If w, w^(2) are the roots of x^(2)+x+1=0 and alpha, beta are the roots of x^(2)+px+q=0 then (w alpha+w^(2)beta)(w^(2)alpha+w beta) =

IF alpha , beta are the roots of x^(2)-x+2=0 then alpha ^ 2 beta + alpha beta ^2 =

IF alpha , beta are the roots of ax ^2 + bx +c=0 then ((alpha )/( a beta + b) )^(3) - ( ( beta )/( a alpha + b )) ^(3)=

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

BEYOND PUBLICATION-QUADRATIC EQUATIONS-EXAMPLE
  1. If alpha, beta are the roots of x^2-px+q=0 then alpha^3+beta^3=….

    Text Solution

    |

  2. Check whether the following are quadratic equations: (x - 2)^(2) + 1...

    Text Solution

    |

  3. Check whether the following are quadratic equation: x(x+1)+8=(x+2)(x...

    Text Solution

    |

  4. Check whether the following are quadratic equation: x(2x+3)=x^(2)+1

    Text Solution

    |

  5. Check whether the following are quadratic equation: (x+2)^(3)=x^(3)-4

    Text Solution

    |

  6. Check whether the following are quadratic equations: (x + 1)^(2) = 2...

    Text Solution

    |

  7. Chek whether the following are quadratic equation: x^(2)-2x=(-2)(3-x...

    Text Solution

    |

  8. Chek whether the following are quadratic equation: (x-2)(x+1)=(x-1)...

    Text Solution

    |

  9. Check whether the following are quadratic equations: (x - 3)(2x + 1)...

    Text Solution

    |

  10. Chek whether the following are quadratic equation: (2x-1)(x-3)=(x+5)...

    Text Solution

    |

  11. Chek whether the following are quadratic equation: x^(2)+3x+1=(x-2)^...

    Text Solution

    |

  12. Chek whether the following are quadratic equation: (x+2)^(3)=2x(x^(2...

    Text Solution

    |

  13. Chek whether the following are quadratic equation: x^(3)-4x^(2)-x+1=...

    Text Solution

    |

  14. Represent the following situations in the form of quadratic equation: ...

    Text Solution

    |

  15. Represent the following situations in the form of quadratic equation: ...

    Text Solution

    |

  16. Represent the following situations in the form of quadratic equation: ...

    Text Solution

    |

  17. A train travels a distance of 480 km at a uniform speed. If the speed ...

    Text Solution

    |

  18. Verify that 1 and 3/2 are the roots of the equation 2x^(2) - 5x + 3 = ...

    Text Solution

    |

  19. Find the roots of the equation 2x^(2) - 5x + 3 = 0 by factorisation.

    Text Solution

    |

  20. Find the roots of the quadratic equation x - 1/(3x) = 1/6

    Text Solution

    |

  21. Find the roots of the following quadratic equations by factorisation. ...

    Text Solution

    |