Home
Class 12
MATHS
Find all roots of the equation X^(6)-X...

Find all roots of the equation
`X^(6)-X^(5)+X^(4)-X^(3)+X^(2)-X+1=0.`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 1|6 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

Find all the roots of the equation x^(11)-x^(7)+x^(4)-1=0

The sum of all the rational roots of the equation 6x^(6)-25x^(5)+31x^(4)-31x^(2)+25x-6=0 is

The sum of all the rational roots of the equation 6x^(6)-25x^(5)+31x^(4)-31x^(2)+25x-6=0 is

The sum of the real roots of the equation x^(5)-5x^(4)+9x^(3)-9x^(2)+5x-1=0 is

find the sum of squares of all roots of the equation. x^(8) - x^(7) + x^(6) -x^(5) + x^(4) -x^(3) +x^(2)-x + 1 =0

Find all roots of the equation x^(4)+2x^(3)-16x^(2)-22x+7=0, if one root is 2+sqrt(3)

The roots of the equation x^(4)-2x^(3)+x-380=0 are

Find the values of a for which all roots of the equation 3x^(4) + 4x^(3) – 12x^(2) + a = 0 are real and distinct.

Roots of equation x^(5)-5x^(4)+9x^(3)-9x^(2)+5x-1=0 are

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find all roots of the equation X^(6)-X^(5)+X^(4)-X^(3)+X^(2)-X+1=0.

    Text Solution

    |

  2. If omega is a cube root of unity but not equal to 1, then minimum valu...

    Text Solution

    |

  3. If one of the vertices of the square circumscribing the circle |z - 1|...

    Text Solution

    |

  4. If z1 and z2, are two non-zero complex numbers such tha |z1+z2|=|z1...

    Text Solution

    |

  5. If 1,omega,omega^(2) are the cube roots of unity, then the roots of t...

    Text Solution

    |

  6. If omega = z//[z-(1//3)i] and |omega| = 1, then find the locus of z.

    Text Solution

    |

  7. If w=alpha+ibeta where Beta 0 and z ne 1 satisfies the condition that...

    Text Solution

    |

  8. Find the value of sum(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wher...

    Text Solution

    |

  9. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

    Text Solution

    |

  10. A man walks a distance of 3 units from the origin towards north-east t...

    Text Solution

    |

  11. If |z|=1 and z!=+-1, then all the values of z/(1-z^2) lie on

    Text Solution

    |

  12. If abs(z+4) le 3, the maximum value of abs(z+1) is

    Text Solution

    |

  13. Let A, B, C be three sets of complex number as defined below: A={z:Img...

    Text Solution

    |

  14. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  15. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  16. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  17. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  18. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

    Text Solution

    |

  19. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

    Text Solution

    |

  20. If |Z-4/Z|=2 then maximum value of |Z| is equal to

    Text Solution

    |

  21. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

    Text Solution

    |