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

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos
  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 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

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. The quadratic equation for which the sum of the roots is 7 and...

    Text Solution

    |

  2. The quadratic equation for which the sum of the roots is 12 an...

    Text Solution

    |

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

    Text Solution

    |

  4. Two complex numbers alpha and beta are such that alpha + ...

    Text Solution

    |

  5. IF the arithmetic mean of the roots of a quadratic equation is...

    Text Solution

    |

  6. Let two numbers have arthmetic mean 9 geometric mean 4. then...

    Text Solution

    |

  7. The equation whose roots are the arthmatic mean and twice the ...

    Text Solution

    |

  8. IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation ...

    Text Solution

    |

  9. The equation whose roots are greater by 1 than those of 2x ^2-3x ...

    Text Solution

    |

  10. IF alpha , beta are the roots of ax^2 + bx +c=0 then the equat...

    Text Solution

    |

  11. The equation whose roots are smaller by 1 then those of 2x ^2-5...

    Text Solution

    |

  12. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

    Text Solution

    |

  13. If alpha , beta are the roots of a ^2 x + bx +c=0 and alpha + ...

    Text Solution

    |

  14. IF alpha , beta are the roots of x^2+bx +c=0 and alpha + h, b...

    Text Solution

    |

  15. IF alpha and beta are the roots of the equation ax ^2+bx +C=...

    Text Solution

    |

  16. The equation whose roots are numerically equal but opposite in ...

    Text Solution

    |

  17. The equation whose roots are multipled by 3 of those of 2x ^2 ...

    Text Solution

    |

  18. The condition that one root of ax ^2+bx +c=0 may be n times th...

    Text Solution

    |

  19. The condition that one root of ax ^2 + bx +c=0 may be the dou...

    Text Solution

    |

  20. If one root of x^2+kx +12 =0 may be the triple the other , then...

    Text Solution

    |