Home
Class 12
MATHS
If 3 - sqrt(2) is a root of x^(4) - 8x^...

If ` 3 - sqrt(2)` is a root of `x^(4) - 8x^(3) + 21x^(2) - 26x + 14 = 0 ` then the roots are

A

`1 pm sqrt(2), 1 pm i`

B

`-1 pm sqrt(2), - 1 pm i`

C

`3 pm sqrt(2), 1 pm i`

D

`-3 pm sqrt(2), -1 pm i`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|76 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET -1|5 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

Similar Questions

Explore conceptually related problems

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

The roots of x^(4) - 10x^(3) + 26x^(2) - 10x + 1 = 0 are

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

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

If the roots of x^4 - 8x^3 + 14 x^2 + 8x - 15=0 are in A.P then the roots are

If 2 is a root of x^(3) + 3x^(2) - 4x + k = 0 then the roots are

If the roots of 3x^(3) - 26x^(2) + 52x - 24 = 0 are in G.P. then roots are

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

If one root of 24x^(3) - 14x^(2) - 63x + 45 = 0 is the double the other then the roots are

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. The roots of 3x^(3) - 4x^(2) +x +88 = 0, one root being 2 + sqrt(7) i...

    Text Solution

    |

  2. The root of x^(3) - 6x^(2) + 7x + 2 = 0 one root being 2 + sqrt(5) ar...

    Text Solution

    |

  3. If 3 - sqrt(2) is a root of x^(4) - 8x^(3) + 21x^(2) - 26x + 14 = 0 ...

    Text Solution

    |

  4. If 2, 3 are the roots of the equation 2x^(3) + px^(2) - 13x + q = 0, t...

    Text Solution

    |

  5. If - 1 + i is a root of x^(4) + 4x^(3) + 5x^(2) + 2x + k = 0 then k =

    Text Solution

    |

  6. If two roots of x^(4) - 16x^(3) + 86x^(2) - 176x + 105 = 0 are 1, 7 t...

    Text Solution

    |

  7. If one of the root x^(4) - 5x^(3) + 10x^(2) - 20x + 24 = 0 is purely ...

    Text Solution

    |

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

    Text Solution

    |

  9. The roots of x^(3) - 3x^(2) + 4 = 0 , when there is a multiple root, ...

    Text Solution

    |

  10. If x^(4) -5x^(3) + 9x^(2) - 7x + 2 = 0 has a multiple roots of order...

    Text Solution

    |

  11. Find the repeated roots of x^5-3x^4-5x^3+27x^2-32x+12=0

    Text Solution

    |

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

    Text Solution

    |

  13. If the roots of x^(4) - 6x^(3) +13x^2-12x + 4 = 0 are alpha, alpha ,...

    Text Solution

    |

  14. If x^(4) + 4x^(3) - 2x^(2) - 12x + 9 = 0 has a pair of equal roots th...

    Text Solution

    |

  15. The there is a multiple root of order 3 for the equation x^(4) - 2x^(3...

    Text Solution

    |

  16. If one root of 24x^(3) - 14x^(2) - 63x + 45 = 0 is the double the oth...

    Text Solution

    |

  17. If one root of 24x^(3) + 46x^(2) + 9x - 9 = 0 is the double the other ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If the sum of two of the roots of 4x^(3) + 16x^(2) - 9x - 36 = 0 is z...

    Text Solution

    |