Home
Class 12
MATHS
IF alpha + beta =- 2 and alpha ^...

IF ` alpha + beta ` =- 2 ` and `alpha ^3 + beta ^3 =- 56` , then the quadratic equation whose roots are ` alpha and beta ` is

A

`x^(2)+2x-16=0`

B

`x^(2)+2x+15=0`

C

`x^(2)+2x-12=0`

D

`x^(2)+2x-8=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES, HEIGHTS AND DISTANCES

    SIA PUBLICATION|Exercise Problems|54 Videos

  • QUESTION PAPER

    SIA PUBLICATION|Exercise CHEMISTRY|8 Videos

Similar Questions

Explore conceptually related problems

Two complex numbers alpha and beta are such that alpha + beta =2 and alpha ^4 + beta ^4 = 272 , then the quadractic equation whose roots are alpha and beta is

IF alpha , beta are the roots of the equation ax^2+ bx +c=0 then the quadratic equation whose roots are alpha + beta , alpha beta is

IF alpha , beta are the roots of x^2 + 5x - 4 =0 then the equation whose roots are ( alpha + 2) /(3) , ( beta +2)/( 3) is

IF alpha , beta are the roots of ax^2 + bx +c=0 then the equation whose roots are 2 + alpha ,2+beta is

If alpha, beta are the roots of x^(2) - x + 1 = 0 then the quadratic equation whose roots are alpha^(2015), beta^(2015) is

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

SIA PUBLICATION-QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS -Problems
  1. If alpha and beta are the roots of x^(2)-2x+4=0, then the value of alp...

    Text Solution

    |

  2. Let alpha and beta be the roots of quadratic equation ax^(2)+bx+c=0. M...

    Text Solution

    |

  3. IF alpha + beta =- 2 and alpha ^3 + beta ^3 =- 56 , then the ...

    Text Solution

    |

  4. The cubic equation, whose roots are thrice to each of the roots of x^(...

    Text Solution

    |

  5. The sum of the fourth powers of the roots of the equation x^(3)+x+1=0 ...

    Text Solution

    |

  6. If alpha and beta are roots of the equation ax^(2)+bx+c=0 and if px^(...

    Text Solution

    |

  7. The set of values of x for which the inequalities x^(2)-3x-10 lt 0, 1...

    Text Solution

    |

  8. If 1, 2, 3 and 4 are the roots of the equation x^(4)+ax^(3)+bx^(2)+cx+...

    Text Solution

    |

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

    Text Solution

    |

  10. A quadratic equation whose roots are sin^(2) 18^(@) , cos^(2) 36^(@) ...

    Text Solution

    |

  11. If sqrt(9x^(2)+6x+1) lt 2-x, then

    Text Solution

    |

  12. The difference between two roots of the equation x^(3)-13x^(2)+15x+189...

    Text Solution

    |

  13. If alpha, beta ,gamma are the roots of the equation x^(3)-6x^(2)+11x+6...

    Text Solution

    |

  14. The condition that sin theta cos theta may be the roots o...

    Text Solution

    |

  15. The roots of the equation x^(3)-3x-2=0 are

    Text Solution

    |

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

    Text Solution

    |

  17. If alpha is non real root of x^(6)=1, then (alpha^(5)+alpha^(3)+alpha+...

    Text Solution

    |

  18. If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx...

    Text Solution

    |

  19. If the roots of the equation 4x^(3)-12x^(2)+11x+k=0 are in arithmetic ...

    Text Solution

    |

  20. the set of all solutions of the inequation x^2-2x +5 le 0 in ...

    Text Solution

    |