Home
Class 12
MATHS
If one of the roots of 18x^3 + 81x^2...

If one of the roots of ` 18x^3 + 81x^2 + 121 x+60=0` is equal to half the sum of the other two then one of its roots is

A

`-3/2`

B

`3/2`

C

`2/3`

D

`-2/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-II|54 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

If one root of 18x^(3) + 81x^(2) + 121x + 60 = 0 is equal to half of the sum of the other two roots then the roots are

Sum of the roots of -7x + 3x^(2) - 1 = 0 is

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

One of the roots of the Q.E. 6x^(2) - x - 2 = 0 is

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

If the sum of the roots of kx^(2) + 2x + 3k = 0 is equal to their product, then k =

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

If the sum of the roots of the Q.E. 3x^(2) + (2k + 1) x - (k + 5) = 0 is equal to the product of the roots, then the value of k is

If the root of kx^3 - 18x^2 - 36 x+8=0 are in H.P then k=

If one root of x^(3) + 3x^(2) + 5x + k = 0 may be the sum of the other two roots then k =

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-III
  1. If the product of two of the roots of x^3 +kx ^2 -3x+4=0 is -1 ...

    Text Solution

    |

  2. The condition for one root of x^3+ax^2+bx+c=0 is sum of the ot...

    Text Solution

    |

  3. If one of the roots of 18x^3 + 81x^2 + 121 x+60=0 is equal to ...

    Text Solution

    |

  4. If the roots of the equation x^3 -9x^2 + 23x-15=0 are in A.P t...

    Text Solution

    |

  5. If the roots of 24x^3 - 26 x^2 + 9x -1=0 are in H.P then the ...

    Text Solution

    |

  6. If alpha , beta , gamma are the roots of x^3 -3ax^2 +3 bx -c=0...

    Text Solution

    |

  7. If the root of kx^3 - 18x^2 - 36 x+8=0 are in H.P then k=

    Text Solution

    |

  8. If the roots of x^3 -14x^2 + 56x-64 =0 are in G.P then the mid...

    Text Solution

    |

  9. If x^4 - 12x ^3 +52 x^2 - 96 x+64=0 have pairs of equal roots t...

    Text Solution

    |

  10. If the roots of x^4 -2x^3 - 21x^2 + 22 x + 40 =0 are in A.P then...

    Text Solution

    |

  11. If the roots of 27x^(4) - 195x^(3) + 494x^(2) - 520x + 192 = 0 are in...

    Text Solution

    |

  12. The roots of x^3 - 13x^2 +39 x-27=0 are in

    Text Solution

    |

  13. If x^3 -3x^2 + 4=0 has a multiple root then that multiple root i...

    Text Solution

    |

  14. The multiple roots of x^(4) - 2x^(3) - 11x^(2) + 12x + 36 = 0 are

    Text Solution

    |

  15. If alpha, beta, gamma are the roiots of x^(3) - 10x^(2) +6x - 8 = 0 t...

    Text Solution

    |

  16. If alpha, beta ,gamma are roots of x^(3) + px^(2) + qx + r = 0 then s...

    Text Solution

    |

  17. If alpha ,beta and gamma are the roots of x^3-2x^2+3x-4 =0 , then fi...

    Text Solution

    |

  18. If alpha , beta , gamma are the roots of x^3 +qx +r=0 then sum...

    Text Solution

    |

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

    Text Solution

    |

  20. If alpha , beta , gamma are the roots of the equation x^3 +4x^...

    Text Solution

    |