Home
Class 10
MATHS
If the sum of the roots of the quadratic...

If the sum of the roots of the quadratic equation is 3 and sum of
their cubes is 63, find the quadratic equation.

Text Solution

Verified by Experts

The correct Answer is:
`x^2-3x-4=0`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Additional problems for Practice : Based on Practice set 2.6|30 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Chapter Assessment|39 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Additional problems for Practice : Based on Practice set 2.4|30 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

The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35. Find the equation.

The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35. Find the equation.

The sum of two roots of a quadratic equation is 5 and the sum of their cubes is 35. Find the equation.

If sum of the roots of quadratic equation is 10 and the product is 9, then form the quadratic equation.

If sum of the roots of quadratic equations is 10 and the product is 9, then form the quadratic equation:

The roots of the quadratic equation m^2-3m+1=0 are

Which one is the quadratic equation?

The roots of the quadratic equation x^2+5x+6=0 are

Write any two quadratic equations.

Write any two quadratic equations.

TARGET PUBLICATION-QUADRATIC EQUATIONS-Additional problems for Practice : Based on Practice set 2.5
  1. The difference between the roots of the equation x^2-13x+k=0 is 7, ...

    Text Solution

    |

  2. Find k if the sum of the roots of the quadratic equation 4x^2 + 8kx + ...

    Text Solution

    |

  3. If the sum of the roots of the quadratic equation is 3 and sum of th...

    Text Solution

    |

  4. Find the value of discriminant of the following quadratic equations. ...

    Text Solution

    |

  5. Find the value of discriminant of the following quadratic equations. ...

    Text Solution

    |

  6. Find the value of discriminant of the following quadratic equations. ...

    Text Solution

    |

  7. Find the value of discriminant of the following quadratic equations. ...

    Text Solution

    |

  8. Find the value of the discriminant ( Delta ) for the quadratic equati...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If alpha and beta are the roots of the quadratic equation 2x^2+6x-5=0...

    Text Solution

    |

  15. Form the quadratic equation, if its roots are (i) 10 and 3

    Text Solution

    |

  16. Form the quadratic equation, if its roots are (ii) 4 and 5

    Text Solution

    |

  17. Form the quadratic equation, if its roots are (iii) 5 and 7

    Text Solution

    |

  18. Form the quadratic equation, if the roots are 3 and 8

    Text Solution

    |

  19. From the quadratic equation, if its roots are (v) 3 and -4

    Text Solution

    |

  20. From the quadratic equation, if its roots are (vi) -3 and -7

    Text Solution

    |