Home
Class 12
MATHS
find the roots x^(11)-x^7+x^4-1=0...

find the roots `x^(11)-x^7+x^4-1=0`

Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -I|10 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

Find the nature of the roots of the following equation, without finding the roots. 2x^(2)-7x+10=0

Solve the following equations x^(11)-x^7+x^4-1=0

Find the polynomial equation of degree 4 whose roots are the negatives of the roots of x^4-6x^3+7x^2-2x+1=0

Find the polynomial equation whose roots are the reciprocals of the roots of x^4-3x^3+7x^2+5x-2=0

Find the polynomial equation whose roots are the reciprocals of the roots of x^4-3x^3+7x^2+5x-2=0

Find the equation whose roots are greater by 2 of the roots of x^(2)-7x+12=0

Find the polynomial equation whose roots are the reciprocals of the roots of x^5+11x^4+x^3+4x^2+13x+6=0

Find the equation whose roots are the translates of the roots of x^4 -5x^3 +7x^2 -17 =0 by -2

If the roots of 2x^(3) - 3x^(2) - 11x + 6 = 0 are in A.P. then the roots are

AAKASH SERIES-DEMOIVRE'S THEOREM-EXERCISE -II
  1. If A+B+C=pi and cosA+cosB+cosC=0=sinA+sinB+sinC then cos3A+cos3B+cos3C...

    Text Solution

    |

  2. If x^6+1=0, then x =

    Text Solution

    |

  3. find the roots x^(11)-x^7+x^4-1=0

    Text Solution

    |

  4. The number of common roots of 15th and of 25th roots of unity are

    Text Solution

    |

  5. The common roots of the equation x^(12)-1=0,x^4+x^2+1=0 are

    Text Solution

    |

  6. The product of all nth roots of unity (n gt 1) is

    Text Solution

    |

  7. The product of the distinct (2n)^(th) roots 1+isqrt3 is

    Text Solution

    |

  8. If alpha is a non real root of x^6=1 then (alpha^5+alpha^3+alpha+1)/(a...

    Text Solution

    |

  9. If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity then (1...

    Text Solution

    |

  10. If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity and n i...

    Text Solution

    |

  11. If alpha is an n^(th) root of unity then prove that 1+2alpha+3alpha^2+...

    Text Solution

    |

  12. Statement-I : ((costheta+isintheta)^5(cos3theta-isin3theta)^6)/((co...

    Text Solution

    |

  13. Statement-I : If xn=cos(pi//2^n)+isin (pi//2^n) then x1.x2.x3…..=-...

    Text Solution

    |

  14. Statement-I : If e^(itheta)=costheta+isintheta then for the DeltaABCe^...

    Text Solution

    |

  15. The ascending order of the values of z1=(1+i)^4,z2=(sqrt3+i)^(12),...

    Text Solution

    |

  16. The descending order of the values of z1=((sqrt3)/(2)i+1/2)^6,z2=(...

    Text Solution

    |

  17. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then match t...

    Text Solution

    |

  18. Match the following. {:("I) "(i)^i=,"a) "ipi//2),("II) "logei=,"b)...

    Text Solution

    |

  19. Assertion (A) : (sqrt3+i)^6+(sqrt3-i)^6=-128 Reason (R) : If n is ...

    Text Solution

    |

  20. If A+B+C=180^@ and cis A=x,cis B=y,cis C=z, them xyz=

    Text Solution

    |