Home
Class 12
MATHS
If alpha is a positive root of the...

If ` alpha ` is a positive root of the equation `x^4 +x^3 -4x^2 +x+1=0` then ` alpha +1/alpha `

A

2

B

`-2`

C

`3`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
A
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

IF alpha is a root of the equation 4x ^2 +2x-1=0 then 4 alpha ^3 - 3 alpha is

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

If alpha and beta are the roots of the quadratic equation x^(2) - 3x + 1 = 0 "then" 1/alpha^(2) + 1/beta^(2)

If alpha, beta, gamma are roots of the equation x^(3) + px^(2) + qx + r = 0 , then sum (1)/(alpha beta ) =

If alpha, beta are the roots of the equation x^(2) + x + 1 = 0 then prove that alpha^(4) + beta^(4) + alpha^(-1) beta^(-1) = 0 .

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

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

    |