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 Chapter Assessment|42 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Additional problems for Practice : Based on Practice set 2.6|30 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|16 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|14 Videos

Similar Questions

Explore conceptually related problems

The sum of the roots of a quadratic equation is 2 and sum of their cubes is 98 ,then the equation is -

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

If the sum of the roots of an equation is 2 and the sum of their cubes is 98, then find the equation.

Nature of Roots of Quadratic equation

One root of a quadratic equation is 2 and the sum of the roots is 0. then the equation is:

TARGET PUBLICATION-QUADRATIC EQUATIONS-Additional problems for Practice : Based on Practice set 2.5
  1. If alpha and beta are the roots of the quadratic equation 2x^2+6x-5=0,...

    Text Solution

    |

  2. From the quadratic equation, if its roots are (i) 10 and 3

    Text Solution

    |

  3. From the quadratic equation, if its roots are (ii) 4 and 5

    Text Solution

    |

  4. From the quadratic equation, if its roots are (iii) 5 and 7

    Text Solution

    |

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

    Text Solution

    |

  6. Form the quadratic equation if its roots are 3 and –4.

    Text Solution

    |

  7. Obtain a quadratic equation whose roots are -3 and -7.

    Text Solution

    |

  8. From the quadratic equation, if its roots are (vii) 4 and 2/3

    Text Solution

    |

  9. From the quadratic equation, if its roots are (viii) (-25)/8 and 25/...

    Text Solution

    |

  10. Find k, if the roots of the quadratic equation kx^2-4x+4=0 are equal

    Text Solution

    |

  11. Find the value (s) of k for which the given quadratic equations has re...

    Text Solution

    |

  12. Find the value (s) of k for which the given quadratic equations has re...

    Text Solution

    |

  13. Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and eq...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 the...

    Text Solution

    |

  17. If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 the...

    Text Solution

    |

  18. The difference between the roots of the equation x^2-13x+k=0 is 7, fin...

    Text Solution

    |

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

    Text Solution

    |

  20. If the sum of the roots of the quadratic equation is 3 and sum of thei...

    Text Solution

    |