Home
Class 10
MATHS
alpha, beta are roots of y^(2)-2y-7=0 fi...

`alpha, beta` are roots of `y^(2)-2y-7=0` find,
(i) `alpha^(2)+beta^(2) " (ii) " alpha^(3)+beta^(3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `alpha^2+beta^2-18`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Practice set 2.6|20 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise probelm set - 2|70 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Practice set 2.4|20 Videos

  • PYTHAGORAS THEOREM

    TARGET PUBLICATION|Exercise Chapter Assessment|16 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|14 Videos

Similar Questions

Explore conceptually related problems

alpha , beta " are root of " y^2 - 2y - 7 =0 " find " alpha^2 + beta^2

alpha , beta " are root of " y^2 - 2y - 7 =0 " find " alpha^3 + beta^3

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

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

If alpha and beta are the zeroes of the polynomial ax^(2)+bx+c, find (i)alpha^(2)-beta^(2).(ii)alpha^(3)-beta^(3)

TARGET PUBLICATION-QUADRATIC EQUATIONS-Practice set 2.5
  1. Form the quadratic equation from the roots given below. 2-sqrt(5) an...

    Text Solution

    |

  2. Sum of the roots of a quadratic equation is double their product. Find...

    Text Solution

    |

  3. alpha, beta are roots of y^(2)-2y-7=0 find, (i) alpha^(2)+beta^(2) "...

    Text Solution

    |

  4. alpha, beta are roots of y^(2)-2y-7=0 find, (i) alpha^(2)+beta^(2) "...

    Text Solution

    |

  5. The roots of the each of the following quadratic equations are real an...

    Text Solution

    |

  6. For what value of k, are the roots of the quadratic equation kx (x-2) ...

    Text Solution

    |

  7. Fill in the gaps and complete. (i)

    Text Solution

    |

  8. Fill in the gaps and complete. (ii)

    Text Solution

    |

  9. Fill in the gaps and complete. (iii)

    Text Solution

    |

  10. Find the value of discriminant. x^(2)+7x-1=0

    Text Solution

    |

  11. Find the value of discriminant. 2y^(2)-5y+10=0

    Text Solution

    |

  12. Find the value of discriminant. sqrt(2)x^(2)+4x+2sqrt(2)=0

    Text Solution

    |

  13. Determine the nature of roots of the following quadratic equations. ...

    Text Solution

    |

  14. Determine the nature of roots of the following quadratic equations. ...

    Text Solution

    |

  15. Determine the nature of roots of the following quadratic equations. ...

    Text Solution

    |

  16. Form the quadratic equation from the roots given below. 0 and 4

    Text Solution

    |

  17. Form the quadratic equation from the roots given below. 3 and -10

    Text Solution

    |

  18. Form the quadratic equation from the roots given below. 1/2 and (-1)...

    Text Solution

    |

  19. Form the quadratic equation from the roots given below. 2-sqrt(5) an...

    Text Solution

    |

  20. Sum of the roots of a quadratic equation is double their product. Find...

    Text Solution

    |