Home
Class 10
MATHS
For what values of a, the roots of the q...

For what values of a, the roots of the quadratic equation `x^(2)-(3a-1)x+2a^(2)+2a-11=0` are equal ?

Text Solution

Verified by Experts

The correct Answer is:
5,9;
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.4|28 Videos

  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

Similar Questions

Explore conceptually related problems

The roots of the quadratic equation 2x^2+3x+1 =0 are

The sum of the roots of the quadratic equation x^(2)-6x+2=0 is

For what value of k(-a) is a root of the quadratic equation 2x^(2)+3ax+k=0 ?

For what value of m, the roots of the quadratic equation 4x^(2)+4(3m-1)x+(m+7)=0 are reciprocal to each other ?

Find the roots of the quadratic equation |x^(2)|-3|x|+2=0 .

The roots of the quadratic equation x^(2)+a=0 are ______ .

For what value of k, (3)/(5) is a root of the quadratic equation 4x^(2)+kx-3=0 ?

If the roots of the quadratic equation x^(2)-m(2x-5)-6=0 are equal, then m=

Two roots of the quadratic equation 2x^(2) +3ix+2 =0 are-

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are equal

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.5
  1. Find m, given that the difference of the roots of the equation 2x^2-12...

    Text Solution

    |

  2. Find the quadartic equation whose sum of the roots is 2 and sum of the...

    Text Solution

    |

  3. For what values of a, the roots of the quadratic equation x^(2)-(3a-1)...

    Text Solution

    |

  4. Determine the nature of the roots of the qaudratic equation 3sqrt2x^(2...

    Text Solution

    |

  5. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

    Text Solution

    |

  6. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

    Text Solution

    |

  7. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

    Text Solution

    |

  8. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

    Text Solution

    |

  9. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

    Text Solution

    |

  10. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

    Text Solution

    |

  11. Solve by applying Sreedhar Acharya's formula - (px-1)(qx+2)+r=0

    Text Solution

    |

  12. If alphaandbeta be the roots of the quadratic equation x^(2)-px+q=0, t...

    Text Solution

    |

  13. If alphaandbeta be the roots of the equation 5x^(2)+7x+3=0, then find ...

    Text Solution

    |

  14. If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0, t...

    Text Solution

    |

  15. If alphaandbeta be the roots of the quadratic equation ax^(2)+bx+c=0, ...

    Text Solution

    |

  16. If alphaandbeta be the roots of the quadratic equation px^(2)-qx+q=0, ...

    Text Solution

    |

  17. If the ratio of the roots of the quadratic equation lx^(2)+nx+n=0 be p...

    Text Solution

    |

  18. If one root of the equation x^(2)+(5a+2)x+5a+2=0 be 5-times of the oth...

    Text Solution

    |

  19. If the ratio of the roots of the quadratic equation x^(2)-px+q=0 be 2:...

    Text Solution

    |

  20. If the sum of the roots of the equation x^2-px+q=0 be three times thei...

    Text Solution

    |