Home
Class 12
MATHS
The equation x^(5)-5x^(3)+5x^(2)-1=0 has...

The equation `x^(5)-5x^(3)+5x^(2)-1=0` has three equal roots. If `alpha,beta` are the other two roots of this equation, then `alpha+beta+alphabeta=`

A

`-4`

B

3

C

`-2`

D

`-5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation x^2-2x+4=0, then alpha ^9 + beta ^9=

If alpha , beta are the roots of x^2-2x + 4 =-0 then alpha ^5 + beta ^5 =

If alpha , beta are the roots of 3x ^2 -5x+7=0 then alpha ^3 + beta ^3=

If alpha and beta are the roots of x^2-2x+3=0 then alpha^2beta+ beta^2 alpha =….

If alpha, beta and 1 are the roots of x^3-2x^2-5x+6=0 , then find alpha and beta

If alpha, beta are the roots of x^(2)+3x+1=0 , then the equation whose roots 2-alpha, 2-beta is

IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation with the roots 1// alpha , 1//beta is

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (4 MAY SHIFT 1)-Mathematics
  1. If the roots of the equation x^(2)+x+a=0 exceed a, then

    Text Solution

    |

  2. If the roots of the equation sqrt((x)/(1-x))+sqrt((1-x)/(x))=(5)/(2) a...

    Text Solution

    |

  3. The equation x^(5)-5x^(3)+5x^(2)-1=0 has three equal roots. If alpha,b...

    Text Solution

    |

  4. If all possible numbers are formed by using the digits 1, 2, 3, 5, 7 w...

    Text Solution

    |

  5. If a is the number of all even divisors and b is the number of all odd...

    Text Solution

    |

  6. If the coefficient of x^(5) in the expansion of (ax^(2)+(1)/(bx))^(13)...

    Text Solution

    |

  7. For n in N, in the expansion of (root(4)(x^(-3))+a root(4)(x^(5)))^(n)...

    Text Solution

    |

  8. If (x^(4)+x^(3)+2x^(2)-2x+1)/(x^(3)+x^(2)) =P(x)+(A)/(x)+(B)/(x^(2))...

    Text Solution

    |

  9. If A(n)=sin^(n)alpha+cos^(n)alpha, then A(1)A(4)+A(2)+A(5)=

    Text Solution

    |

  10. When (sin9 theta)/(cos27 theta)+(sin3 theta)/(cos9 theta)+(sin theta)...

    Text Solution

    |

  11. If 0 lt theta lt pi/2, x = sum(n=0)^(oo)cos^(2n) theta, y =sum(n=0)^(o...

    Text Solution

    |

  12. Number of solutions of the equation sinx-sin2x+sin3x=2cos^(2)x-2cosx i...

    Text Solution

    |

  13. 2"Tan"^(-1)(1)/(5)+"Sec"^(-1)(5 sqrt(2))/(7)+"Tan"^(-1)(1)/(8)=

    Text Solution

    |

  14. If cos h x=(sqrt(14))/(3),sin h x = cos theta and -pi lt theta lt -(pi...

    Text Solution

    |

  15. In DeltaABC, if a=5 and tan((A-B)/(2))=(1)/(4)tan((A+B)/(2)), then sqr...

    Text Solution

    |

  16. In a DeltaABC, if A = 2B and the sides opposite to the angles A, B, C ...

    Text Solution

    |

  17. In DeltaABC, right angled at A, the circumradius, inradius and radius ...

    Text Solution

    |

  18. Let 3hati+hatj-hatk be the position vector of a point B. Let A be a po...

    Text Solution

    |

  19. The vector that is parallel to the vector 2hati-2hatj-4hatk and coplan...

    Text Solution

    |

  20. A line L is passing through the point A whose position vector is hati+...

    Text Solution

    |