Home
Class 10
MATHS
In the following, determine whether t...

In the following, determine whether the given quadratic equations have real roots and if so, find the roots: `16 x^2=24 x+1` (ii) `x^2+x+2=0`

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos
  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos

Similar Questions

Explore conceptually related problems

In the following,determine whether the given quadratic equations have real roots and if so, find the roots: 3x^(2)+2sqrt(5)x-5=0 (ii) x^(2)-2x+1=0

In the following,determine whether the given quadratic equations have real roots and if so, find the roots 6x^(2)+x-2=0 (ii) 25x^(2)+20x+7=0

In the following,determine whether the given quadratic equations have real roots and if so, find the roots: 2x^(2)-2sqrt(2)x+1=0 (ii) 3x^(2)-5x+2=0

In the following,determine whether the given quadratic equations have real roots and if so, find the roots 3x^(2)+2sqrt(5)x-5=0 (ii) x^(2)+5x+5=0

In the following,determine whether the given quadratic equations have real roots and if so, find the roots: 2x^(2)-2sqrt(6)x+3=0 (ii) 3a^(2)x^(2)+8abx+4b^(2)=0,quad a!=0

In the following,determine whether the given quadratic equations have real roots and if so, find the roots 9x^(2)+7x-2=0 (ii) 2x^(2)+5sqrt(3)x+6=0

In the following,determine whether the given quadratic equations have real roots and if so, find the roots: 2x^(2)+5sqrt(3)x+6=0 (ii) sqrt(2)x^(2)+7x+5sqrt(2)=0

In the following,determine whether the given quadratic equations have real roots and if so, find the roots: sqrt(3)x^(2)+10x-8sqrt(3)=0 (ii) 3x^(2)-2x+2=0

Find whether the following equations have real roots. If real roots exist, find them 6x^(2)+8x+30=0

Find whether the following equations have real roots. If real roots exist, find them -2x^(2)+3x+2=0

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. Write the discriminant of the following quadratic equations: (x-1)(...

    Text Solution

    |

  2. Write the discriminant of the following quadratic equations: sqrt(3...

    Text Solution

    |

  3. In the following, determine whether the given quadratic equations h...

    Text Solution

    |

  4. In the following, determine whether the given quadratic equations h...

    Text Solution

    |

  5. In the following, determine whether the given quadratic equations h...

    Text Solution

    |

  6. In the following, determine whether the given quadratic equations h...

    Text Solution

    |

  7. In the following, determine whether the given quadratic equations h...

    Text Solution

    |

  8. In the following, determine whether the given quadratic equations h...

    Text Solution

    |

  9. Solve for x : (x-1)/(x-2)+(x-3)/(x-4)=3 1/3;\ \ x!=2,\ 4

    Text Solution

    |

  10. Solve for x : 1/x-1/(x-2)=3,\ \ x!=0,\ 2

    Text Solution

    |

  11. Solve for x : x+1/x=3,\ \ x!=0

    Text Solution

    |

  12. Solve for x : (16)/x-1=(15)/(x+1),\ \ x!=0,\ -1

    Text Solution

    |

  13. Find the values of k for which the equation x^2-4x+k=0 has disti...

    Text Solution

    |

  14. Show that the equation x^2+a x-4=0 has real and distinct roots f...

    Text Solution

    |

  15. The positive value of k for which the equation x^2+k x+64=0 and x^2-8x...

    Text Solution

    |

  16. Find the values of k for which the given equation has real roots...

    Text Solution

    |

  17. Find the values of k for which the given equation has real roots...

    Text Solution

    |

  18. Find the values of k for which the given equation has real roots...

    Text Solution

    |

  19. Find the value of k for which the equation 9x^2-24 x+k=0 has equ...

    Text Solution

    |

  20. Find the value of k for which the equation 2k x^2-40 x+25=0 has ...

    Text Solution

    |