Home
Class 9
MATHS
If k(1) and k(2) are roots of x^(2) - 5...

If `k_(1)` and `k_(2)` are roots of `x^(2) - 5x - 24 = 0`, then find the quadratic equation whose roots are `-k_(1)` and `-k_(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) + 5x - 24 = 0`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Essay Type Qns|4 Videos
  • QUADRATIC EXPRESSIONS AND EQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Level 1|30 Videos
  • QUADRATIC EXPRESSIONS AND EQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Very Short|19 Videos
  • PROBABILITY

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|8 Videos
  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise Leval 3|10 Videos

Similar Questions

Explore conceptually related problems

If x_(1) and x_(2) are roots of the quadratic equation x^(2)+x+4=0, then the quadratic equation whose roots are y_(k)=x_(k)+(1)/(x_(k)) where k=1,2, is :

Value(s) of k for which the quadratic equation 2x^(2)-kx+k=0 has equal roots is/are

If the roots of the quadratic equation x^(2) +2x+k =0 are real, then

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

Find the values of k so that the quadratic equation 2x^(2)-(k-2)x+1=0 has equal roots

If one of the roots of the quadratic equation x^(2) – 7x + k = 0 is 4, then find the value of k.

If one root of the quadratic equation kx^(2) – 7x + 5 = 0 is 1, then find the value of k.

Find the values of k for which the quadratic equation has equal roots: x^(2)-2x(1+3k)+7(3+2k)=0

If the roots of the equation kx^2 + (k- 1) x - 1 = 0 are equal then find the value of k.

Find the values of k for which the quadratic equation 9x^(2)-3kx+k=0 has equal roots.

PEARSON IIT JEE FOUNDATION-QUADRATIC EXPRESSIONS AND EQUATIONS-Short Ans
  1. If one roots of the equation x^(2) - mx + n = 0 is twice the other roo...

    Text Solution

    |

  2. The square of one-sixth of the number of students in a class are stud...

    Text Solution

    |

  3. If 2alpha and 3beta are the roots of the equation x^(2) + az +b = 0, t...

    Text Solution

    |

  4. If alpha, beta are the roots of the quadratic equation lx^(2) + mx + n...

    Text Solution

    |

  5. By a reduction of re.-1 per kg in the price of sugar Mohan can buy one...

    Text Solution

    |

  6. The zeroes of the quadratic polynomial x^(2) - 24x + 143 are

    Text Solution

    |

  7. Find the quadratic equation in x whose roots are (-7)/(2) and (8)/(3).

    Text Solution

    |

  8. If k(1) and k(2) are roots of x^(2) - 5x - 24 = 0, then find the quad...

    Text Solution

    |

  9. The product of the roots of the equation 1/(x+1) + (1)/(x-2) = (1)/...

    Text Solution

    |

  10. The roots of the equation 2x^(2) + 3x + c = 0 (where x lt 0) could be ...

    Text Solution

    |

  11. The roots of the equation 3x^(2) - 4sqrt(3x) + 4 = 0 are

    Text Solution

    |

  12. If alpha and beta are the roots of the quadratic equation x^(2) + 3x -...

    Text Solution

    |

  13. The roots of the equtation (x-3)/(x-2) + (2x)/(x+3) = 1, where x ne 2,...

    Text Solution

    |

  14. If the roots of the quadratic equation 4x^(2) -16x + p = 0, are real ...

    Text Solution

    |

  15. If one root of the quadratic equation ax^(2) + bx + c = 0 is 15 + 2sq...

    Text Solution

    |

  16. If the roots of the equation ax^(2) + bx + c = 0 are in the ratio of 3...

    Text Solution

    |

  17. For which value of p among the following, does the quadratic equation ...

    Text Solution

    |

  18. If the product of the roots of ax^(2) + bx + 2 = 0 is equal to the pro...

    Text Solution

    |

  19. Find the roots of quadratic equation ax^(2) + (a-b + c) x - b +c = 0.

    Text Solution

    |

  20. If (2x-9) is a factor of 2x^(2) + px - 9, then p = "".

    Text Solution

    |