Home
Class 10
MATHS
If x=9 is one root of the quadratic equa...

If x=9 is one root of the quadratic equation `x^(2)-11x+k=0`, then find the value of k.

Text Solution

Verified by Experts

The correct Answer is:
k=18
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHETAN PUBLICATION|Exercise ASSIGNMENT|12 Videos

  • QUADRATIC EQUATIONS

    CHETAN PUBLICATION|Exercise PROBLEM SET 2|50 Videos

  • PYTHAGORAS THEOREM

    CHETAN PUBLICATION|Exercise ASSIGNMENT -5|1 Videos

  • SIMILARITY

    CHETAN PUBLICATION|Exercise ASSIGNMENT-1|12 Videos

Similar Questions

Explore conceptually related problems

If one root of the quadratic equation 3y^(2)-ky+8=0 is 2/3 , find the value of k.

If x=5 is the root of a equation kx^(2)-14x-5=0, then find the value of K

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

Product of the roots of the quadratic equation x^(2)+3x=0 is

Find the discriminant of the quadratic equation 2x^(2)-4x+3=0 , and hence find the nature of its roots.

If sum of the roots of the equation x^3-3x^2-16x+k=0 is zero then find the value k.

One of the roots of quadratic equation 2x^(2)+kx-2=0 is -2, find k.

If x = 1 is one root of the equation x^(3) - 6x^(2) + 11x -6 = 0, find the other roots.

If one of the roots of the equation 3x^(2)-kx-2=0 is 2. Find the value of k. Also find the other roots.

If the difference between the roots of the equation x^(2)-13x+k=0 is 7 then the value of k is ___.

CHETAN PUBLICATION-QUADRATIC EQUATIONS-PROBLEMS FOR PRACTICE
  1. If x=9 is one root of the quadratic equation x^(2)-11x+k=0, then find ...

    Text Solution

    |

  2. If one root of the quadratic equation 3y^(2)-ky+8=0 is 2/3, find the v...

    Text Solution

    |

  3. Determine whether the given values of x are the roots of given quadrat...

    Text Solution

    |

  4. which of the following are quadratic equations? "(i) " x-5/x=3x-9 " ...

    Text Solution

    |

  5. write the quadratic equations in ax^(2)+bx+c=0 form and find the value...

    Text Solution

    |

  6. Solve the following quadratic equations by factorisation method : x...

    Text Solution

    |

  7. Solve the following quadratic equations by completing square method: ...

    Text Solution

    |

  8. Solve the following quadratic equations by using formula method: 3x^(2...

    Text Solution

    |

  9. Find the value of discriminant for each of the following quadratic equ...

    Text Solution

    |

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

    Text Solution

    |

  11. Form the quadratic equation if its roots are "(i) " 0 and -4 "

    Text Solution

    |

  12. Find the value of k for which given quadratic equations are real and e...

    Text Solution

    |

  13. If alpha and beta are the roots of equation x^(2)-4x+1=0, find (i) alp...

    Text Solution

    |

  14. Find k, if one root of the equation 5x^(2)+6x+k=0 is five times the ot...

    Text Solution

    |

  15. A man riding on a bicycle covers a distance of 60 km in a direction of...

    Text Solution

    |

  16. One tank can be filled up by two taps in 6 hours. The smaller tap alon...

    Text Solution

    |

  17. The sum of the squares of two consecutive natural numbers is 113. Find...

    Text Solution

    |

  18. The sum of the squares of two consecutive even natural numbers is 100....

    Text Solution

    |

  19. For doing some work, Ganesh takes 10 days more than John. If both work...

    Text Solution

    |

  20. In garden, there are some rows and columns. The number of trees in a r...

    Text Solution

    |