Home
Class 14
MATHS
If alpha and beta are the roots of the q...

If `alpha` and `beta` are the roots of the quaclratic equation `24x^2+55x-1=0`, what are the signs of the roots?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

  • TIME AND WORK

    QUANTUM CAT|Exercise QUESTION BANK |202 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the quadratic equation x^2+5x+6=0 what are the signs of the roots?

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

if alpha and beta are the roots of the quadratic equation x^(2)-3.x-2=0, find a quadratic equation whose roots are (1)/(2 alpha+beta) and (1)/(2 beta+alpha)

If alpha and beta are the roots of the equation x^(2) + x+ 1 = 0, then what is the equation whose roots are alpha^(19) and beta^(7) ?

If alpha and beta are roots of the quadratic equation x ^(2) + 4x +3=0, then the equation whose roots are 2 alpha + beta and alpha + 2 beta is :

If alpha and beta are the roots of the equation x^(2) + x+1=0 then which of the following are the roots of the equation x^(2) - x+1 = 0 ?

QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. If 5/3 and 3 are the two roots of a quadratic equation, then which o...

    Text Solution

    |

  2. If alpha and beta are the roots of the quadratic equation x^2+5x+6=0...

    Text Solution

    |

  3. If alpha and beta are the roots of the quaclratic equation 24x^2+55x-1...

    Text Solution

    |

  4. If sum of the roots is -2 and product of the roots is -15,

    Text Solution

    |

  5. If sum of the roots is -11 and product of the roots is 24,

    Text Solution

    |

  6. If the quadratic equation is x^2-34x+93=0

    Text Solution

    |

  7. If the quadratic equation is -x^2+28x+93=0,

    Text Solution

    |

  8. What is the minimum distance between the vertex of the quadratic graph...

    Text Solution

    |

  9. If the two roots of a quadratic equation are 7/2 and 3/5 which one...

    Text Solution

    |

  10. The axis of symmetry is 3 units away from Y-axis and the minimum is 4...

    Text Solution

    |

  11. If the quadratic equation has negative real roots and its maximum (ext...

    Text Solution

    |

  12. If the minimum value of the quadratic function is 0, then which of th...

    Text Solution

    |

  13. If one of the roots is 0 and another one is real positive, then which ...

    Text Solution

    |

  14. For a quadratic equation ax^2+bx+c=0 , if you have double roots and po...

    Text Solution

    |

  15. The quadratic equation ax^(2)+bx+c=0 has real roots if:

    Text Solution

    |

  16. There are two quadratic equations, none of them has integer or complex...

    Text Solution

    |

  17. There are two quadratic equations E1 and E2 Each root of E1 is four t...

    Text Solution

    |

  18. The two roots of a quadratic equation are -7 and -3, what will be the ...

    Text Solution

    |

  19. Which of the following is not a quadratic equation

    Text Solution

    |

  20. What is the locus of the vertices of all the quadratic equations whose...

    Text Solution

    |