Home
Class 12
MATHS
If alpha, beta are the roots of x^(2) +...

If `alpha, beta` are the roots of `x^(2) + x + 3=0` then `5alpha+alpha^(4)+ alpha^(3)+ 3alpha^(2)+ 5beta+3=`

A

0

B

-1

C

-2

D

-3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-I|56 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta are the roots of x^(2) - x + 3 = 0 , then alpha^(4) +beta^(4) =

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

"If" alpha , beta "are the roots of" x^(2) - px + q = 0 "then" alpha^(3) + beta^(3) =

If alpha, beta, gamma are the roots of x^(3) + 3x + 3 = 0 , then alpha^(5) + beta^(5) + gamma^(5) =

If alpha, beta are the roots of x^(2) + 7x + 3 = 0 then (alpha – 1)^(2) + (beta – 1)^(2) =

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

If alpha, beta, gamma are the roots of x^(3) - 3x + 7 = 0 then alpha beta gamma =

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^(2) beta^(2) =

If alpha, beta are the rootsof 6x^(2)-4sqrt2 x-3=0 , then alpha^(2)beta+alpha beta^(2) is

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. If tan^(2)theta, sin^(2)theta are the roots of ax^(2)+bx+c=0 then b^(2...

    Text Solution

    |

  2. If the roots of ax^(2) + bx + c = 0 are 2, (3)/(2) then (a+b+c)^(2)

    Text Solution

    |

  3. If alpha, beta are the roots of x^(2) + x + 3=0 then 5alpha+alpha^(4...

    Text Solution

    |

  4. IF x^2-3x +2 is a factor of x ^4 -px^2 +q=0 then (p,q)=0

    Text Solution

    |

  5. If alpha, beta are the roots of x^(2) + bx-c = 0, then the equation wh...

    Text Solution

    |

  6. If the arithmetic mean of the roots of quadratic equation is (8)/(5) a...

    Text Solution

    |

  7. The equation whose roots are the arthmatic mean and twice the ...

    Text Solution

    |

  8. If alpha, beta are the roots of the equation x^(2)+7x+12=0, then the e...

    Text Solution

    |

  9. If a(5+q^(2))+2bq+c=0 and a(5+r^(2))+2br+c=0 where a ne 0 then q + r =

    Text Solution

    |

  10. If alpha, beta are the roots of x^(2)-2x+4 = 0 and for any n in N, a...

    Text Solution

    |

  11. If A, B, C, D are the sum of the square of the roots of 2x^(2) + x- 3=...

    Text Solution

    |

  12. The equation formed by decreasing each root of ax^(2) + bx + c = 0 by ...

    Text Solution

    |

  13. alpha,beta are the real roots of ax^(2) + bx + c = 0 observe the follo...

    Text Solution

    |

  14. If x^(2) + px + q = 0 is the quadratic equation whose roots are a-2 an...

    Text Solution

    |

  15. If alpha, beta are the roots of x^(2) + x + 1 = 0, then the equation w...

    Text Solution

    |

  16. If omega is an imaginary cube root of unity then the equation whose ro...

    Text Solution

    |

  17. The equation whose roots are half of roots of the equation 2x^(2) + 5x...

    Text Solution

    |

  18. Assertion (A) : If alpha, beta are the roots of ax^(2) + bx + c = 0 th...

    Text Solution

    |

  19. IF alpha and beta are the roots of the equation ax ^2+bx +C=...

    Text Solution

    |

  20. If alpha, beta are the roots of ax^(2) + bx + c = 0 then the equation ...

    Text Solution

    |