Home
Class 12
MATHS
Find the nature of the roots of the foll...

Find the nature of the roots of the following equation, without finding the roots.
`9x^(2)-30x+25=0`

Text Solution

Verified by Experts

The correct Answer is:
`therefore` The roots are rational and equal
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|8 Videos

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos

  • QUESTION PAPER -2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Type questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the nature of the roots of the following equation, without finding the roots. 2x^(2)-8x+3=0

Find the nature of the roots of the following equation, without finding the roots. x^(2)-12x+32=0

Find the nature of the roots of the following equation, without finding the roots. 2x^(2)-7x+10=0

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0

Find the roots of the following equations. -x^(2)+x+2=0

Find the roots of the following equations. x^(2)-7x+12=0

Find the roots of the following equations. 2x^(2)+3x+2=0

Find the nature of the roots of 3x^(2)+7x+2=0

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-QUADRATIC EXPRESSIONS-TEXTUAL EXERCISES
  1. Form quadratic equation whose roots are : -3 pm 5i

    Text Solution

    |

  2. Find the nature of the roots of the following equation, without findin...

    Text Solution

    |

  3. Find the nature of the roots of the following equation, without findin...

    Text Solution

    |

  4. Find the nature of the roots of the following equation, without findin...

    Text Solution

    |

  5. Find the nature of the roots of the following equation, without findin...

    Text Solution

    |

  6. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  7. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  8. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  9. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  10. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  11. Find the values of m for which the following equations have equal root...

    Text Solution

    |

  12. Find the values of m for which the following equations have equal root...

    Text Solution

    |

  13. Find the values of m for which the following equations have equal root...

    Text Solution

    |

  14. Find the values of m for which the following equations have equal root...

    Text Solution

    |

  15. Find the values of m for which the following equations have equal root...

    Text Solution

    |

  16. If alpha, and beta are the roots of x^(2)+px+q=0 form a quadratic equa...

    Text Solution

    |

  17. If x^(2)+bx+c=0, x^(2)+cx+b=0 (b ne c) have a common root, then show t...

    Text Solution

    |

  18. Prove that the roots of (x-a)(x-b)=h^(2) are always real.

    Text Solution

    |

  19. Find the condition that one root of the quadratic equation ax^(2)+bx+c...

    Text Solution

    |

  20. Find two consecutive positive even integers, the sum of whose squares ...

    Text Solution

    |