Home
Class 12
MATHS
Find the nature of the roots of 4x^(2)-2...

Find the nature of the roots of `4x^(2)-20x+25=0`

Text Solution

Verified by Experts

The correct Answer is:
Since `Delta` is zero and a,b,c are real, the roots of the given equation are real and equal.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Very Short Answer Questions|3 Videos
  • QUADRATIC EXPRESSIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Short 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 3x^(2)+7x+2=0

The nature of roots of 3x^(2) + 13x - 2 = 0

Find the algebraic equation of degree 5 whose roots are the translates of the roots of x^5+4x^3-x^2+11=0 by -3.

Find the polynomial equation whose roots are the squares of the roots of x^4+x^3+2x^2+x+1=0

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them 24x^2-20x+4=0

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

Find the nature of the roots of the following quadratic equations. If real roots exist, find them: 3x^(2) - 4sqrt(3x) + 4 = 0

Find the nature of the roots of the following quadratic equations. If real roots exist, find them. 3x^(2) - 4 sqrt 3x + 4 = 0

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-QUADRATIC EXPRESSIONS-TEXTUAL EXERCISES
  1. Find the nature of the roots of 4x^(2)-20x+25=0

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Find the roots of the following equations. sqrt(3)x^(2)+10x-8sqrt(3)...

    Text Solution

    |

  6. Find the roots of the following equations. 6sqrt(5)x^(2)-9x-3sqrt(5)...

    Text Solution

    |

  7. Form quadratic equation whose roots are : 2,5

    Text Solution

    |

  8. Form quadratic equation whose roots are : (m)/(n), (n)/(m) (m ne 0, ...

    Text Solution

    |

  9. Form quadratic equation whose roots are : (p-q)/(p+q), (-p+q)/(p-q),...

    Text Solution

    |

  10. Form quadratic equation whose root 7 pm 2sqrt(5)

    Text Solution

    |

  11. Form quadratic equation whose roots are : -3 pm 5i

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |