Home
Class 12
MATHS
to remove the 2^(nd) term of the eq...

to remove the ` 2^(nd) ` term of the equation `x^4 -10 x^3 +35 x^2 -50 x^2 - 50 x+ 24=0` , diminish the roots by

A

`2/5`

B

`-2/5`

C

`5/2`

D

`-5/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-II|54 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|9 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

To remove the 2^( nd ) term of the equation x^4 - 8x^3 + x^2 -x +3=0 , diminish the roots by

Remove the third term from the equation x^4 +2x^3 -12 x^2 +2x -1=0

Remove the second term from the equation x^4 +4x^3 +2x^2 -4x -2=0

Solve the equation 6x^4-35x^3+62x^2-35x+6=0 .

To remove the second term of the equation x^(4)-8x^(3)+x^(2)-x+3=0 , diminish the roots of the equation by

Find the multiple roots of x^4 - 6x^3 + 13 x^2 - 24 x +36 =0

Find the roots of the equation 3x^(2)+2x-5=0

If one of the root x^(4) - 5x^(3) + 10x^(2) - 20x + 24 = 0 is purely imaginary then the roots are

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-I
  1. If alpha , beta , gamma are the roots of the equation x^3 +px...

    Text Solution

    |

  2. If alpha , beta , gamma are the roots of x^3 +2x^2 -3x -1=0 the...

    Text Solution

    |

  3. If f(x) =x^4 + 3x ^2 - 6x -2 then the coefficient of x^3 in ...

    Text Solution

    |

  4. The equation whose roots are multiplied by 3 of those of 2x^(3) - 3x^...

    Text Solution

    |

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

    Text Solution

    |

  6. The equation whose roots are those of equation x^4 - 3x^3 +5x...

    Text Solution

    |

  7. If alpha , beta , gamma are the roots of x^3 +x^2 + 2x +3=0 th...

    Text Solution

    |

  8. If alpha , beta , gamma are the roots of x^3 + 3x^2 -4x +2=0 t...

    Text Solution

    |

  9. to remove the 2^(nd) term of the equation x^4 -10 x^3 +35 x^2 -5...

    Text Solution

    |

  10. The transformed equation of x^(4) + 8x^(3) + x - 5 = 0 by eliminating ...

    Text Solution

    |

  11. Each of the roots of the equation x^(3) - 6x^(2) + 6x - 5 = 0 are incr...

    Text Solution

    |

  12. If the roots of x^4 +5x^3 - 30 x^2 - 40 x+64=0 are in G.P then...

    Text Solution

    |

  13. If 1, -2, 3 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roo...

    Text Solution

    |

  14. IF the roots of ax^3 +bx^2 +cx +d =0 are in G.P then the roots...

    Text Solution

    |

  15. If 1,3,4,0 are the roots of ax^4 +bx^3 +cx^2 +dx +e =0 then the...

    Text Solution

    |

  16. The reciprocal equation is

    Text Solution

    |

  17. The equation x^4 + 3x^3 -3x -1=0 is a reciproca, equation of

    Text Solution

    |

  18. The reciprocal equation is

    Text Solution

    |

  19. If alpha is a positive root of the equation x^4 +x^3 -4x^2 +x...

    Text Solution

    |

  20. If 2,3 are two roots of the reciprocal equation 6x^5 - 29 x^4 ...

    Text Solution

    |