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|19 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise probelm set - 2|69 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Practice set 2.4|20 Videos

  • PYTHAGORAS THEOREM

    TARGET PUBLICATION|Exercise Chapter Assessment|13 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|11 Videos

Similar Questions

Explore conceptually related problems

alpha,beta are roots of y^2-2y-7=0 . Find alpha^3+beta^3

alpha,beta are roots of y^2-2y-7=0 . Find alpha^2+beta^2

If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 then, find (i) alpha^(3)+beta^(3) (ii) alpha^(2)+beta^(2)

If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 then, find (i) alpha^(3)+beta^(3) (ii) alpha^(2)+beta^(2)

If alpha and beta are the roots of equation x^2-4x+1=0 , find alpha^2+beta^2

If alpha and beta are the roots of the equation x^2-9x+14=0 , find (i) alpha^2+beta^2

If alpha and beta are the roots of equation x^2-4x+1=0 , find alpha^3+beta^3

If alpha and beta are the roots of the equation x^2-9x+14=0 , find (ii) (alpha-beta)^(2) .

If alpha and beta are the complex cube root of unity, show that alpha ^(4) + beta ^(4) + alpha ^( -1) beta ^(-1) = 0

If alpha and beta are the roots of the quadratic equation y^2-2y-7=0, find the values of alpha^2+ beta^2

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. Fi...

    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 ...

    Text Solution

    |

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

    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. (i) x^2+7x-1=0

    Text Solution

    |

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

    Text Solution

    |

  12. Find the value of discriminant. (iii) 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. (i) 0 and 4

    Text Solution

    |

  17. Form the quadratic equation from the roots given below. (ii)3 and -1...

    Text Solution

    |

  18. Form the quadratic equation from the roots given below. (iii) 1/2,1/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |