Home
Class 10
MATHS
The sum of two roots of a quadratic equa...

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

Text Solution

Verified by Experts

The correct Answer is:
The required equation is `x^(2)-5x+6=0`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ACTIVITY|11 Videos

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGIN QUESTIONS|2 Videos

  • QUADRATIC EQUATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PROBLEM SET -17|1 Videos

  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Challenging Questions|5 Videos

  • QUADRATIC EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 2.4|8 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 -

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

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

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

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

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUADRATIC EQUATION -PROBLEM SET -18
  1. Two roots of quadratic equations are givne, frame the equation : 1-...

    Text Solution

    |

  2. Two roots of quadratic equations are given, frame the equation. 0 an...

    Text Solution

    |

  3. Determine the nature of roots for each of the quadratic equations. 3...

    Text Solution

    |

  4. Determine the nature of the roots for each of the following quadratic...

    Text Solution

    |

  5. Determine the nature of roots for each of the quadratic equations. m...

    Text Solution

    |

  6. Solve the following quadratic equations : 1/(x+5)=1/x^(2)

    Text Solution

    |

  7. Solve the following quadratic equations: x^(2)-(3x)/(10)-1/(10)=0

    Text Solution

    |

  8. Solve the following quadratic equations: (2x+3)^(2)=25

    Text Solution

    |

  9. Solve the following quadratic equations : m^(2)+5m+5=0

    Text Solution

    |

  10. Solve the following quadratic equations : 5m^(2)+2m+1=0

    Text Solution

    |

  11. Solve the following quadratic equations : x^(3)-4x-3=0

    Text Solution

    |

  12. Find m, if the quadratic equation (m-12)x^(2)+2(m-12)x+2=0 has real an...

    Text Solution

    |

  13. The sum of two roots of a quadratic equation is 5 and the sum of their...

    Text Solution

    |

  14. Find quadratic equation such that its roots are square of sum of the r...

    Text Solution

    |

  15. Mukund possesses RS 50 more than what Sagar possesses. The product of ...

    Text Solution

    |

  16. The difference between the squares of two numbers is 120. The square o...

    Text Solution

    |

  17. Mr. Dinesh owns an agricultural farm at village Talvel. The length of ...

    Text Solution

    |