Home
Class 12
MATHS
If the two roots of 4x^3 + 20 x^2 -23...

If the two roots of `4x^3 + 20 x^2 -23x + 6=0` are equal then find all the roots .

Text Solution

Verified by Experts

The correct Answer is:
`1/2,1/2-6`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.2 (LONG ANSWER QUESTIONS)|9 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.3 (VERY SHORT ANSWER QUESTIONS)|20 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.2 (VERY SHORT ANSWER QUESTIONS)|6 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

Given that two roots of 4x^3+20x^2-23x+6=0 are equal,find all the roots of the given equation .

It two roots of 20x^(3) - 16x^(2) + x + 1 = 0 are equal then the roots are

find the multiple roots of 8x^3 + 20 x^2 + 6 x-9 =0

If two roots of 2x^(3) - x^(2) - 22x - 24 = 0 are in the ratio 3 : 4 then the roots are

If two roots of x^(3) - 4x^(2) + x + 6 = 0 are in the ratio 2 : 3 then the roots are

If the sum of two of the roots of 4x^(3) + 16x^(2) - 9x - 36 = 0 is zero then the roots are

If two roots of x^3 - 9x^2 + 14 x +24 =0 are in the ratio 3:2 then the roots are

If the product of two of the roots of x^4 - 5x^3 + 5x^2 + 5x -6=0 is 2 then the roots are

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE -2.2 (SHORT ANSWER QUESTIONS)
  1. Solve 9x^3-15x^2+7x-1=0 , given that two of its roots are equal .

    Text Solution

    |

  2. If the two roots of 4x^3 + 20 x^2 -23x + 6=0 are equal then find ...

    Text Solution

    |

  3. Given that one root of 2x^3+3x^2-8x+3=0 is double of another root , f...

    Text Solution

    |

  4. Solve x^3 -7x^2 + 36 =0 given one root being twice the other .

    Text Solution

    |

  5. solve x^3 -9x^2 + 14x+ 24 =0 given that two of the roots are i...

    Text Solution

    |

  6. show that the condition that the roots of x^3 + 3 px^2 + 3 qx +r...

    Text Solution

    |

  7. show that the condition that the roots of x^3 + px^2 + qx +r=0...

    Text Solution

    |

  8. show that the condition that the roots of x^3 + 3 px^2 + 3 qx +r...

    Text Solution

    |

  9. Solve the following equation ,given that the root of each are in A.P ....

    Text Solution

    |

  10. solve the equations 32x^3 - 48 x^2 + 22 x -3=0, the roots being ...

    Text Solution

    |

  11. solve the equations x^3 -3x^2 - 6x +8=0 the roots being ...

    Text Solution

    |

  12. Solve 18x^3+81x^2+121x+60=0 given that one roots is equal to half the ...

    Text Solution

    |

  13. If the roots of x^(4) - 2x^(3) - 21x^(2) + 22x + 40 = 0 are in A.P. t...

    Text Solution

    |

  14. Find the condition that x^3-px^2+qx-r=0 may have the roots in G.P .

    Text Solution

    |

  15. Solve the equation 3x^3 -26 x^2 + 52 x-24 =0 the roots being ...

    Text Solution

    |

  16. Solve the equation 15x^3 - 23x^2 + 9x -1=0

    Text Solution

    |

  17. Solve the equation 6x^3 -11 x^2 +6x -1=0

    Text Solution

    |

  18. find the multiple roots of 8x^3 + 20 x^2 + 6 x-9 =0

    Text Solution

    |

  19. find the multiple roots of 12x^3 +40x^2 +39 x + 9=0

    Text Solution

    |