Home
Class 10
MATHS
Find the nature of the roots of the foll...

Find the nature of the roots of the following quadratic equations:
(i) `2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0`
(iii)`5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0`
(v)`12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0`

Text Solution

Verified by Experts

The correct Answer is:
(i) Real and unequal (ii) Real and equal (iii) Not real (iv) Not real (v) Real and eqal (vi) Not real
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4E|71 Videos

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Test Yourself|55 Videos

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4C|36 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|37 Videos

  • REAL NUMBERS

    RS AGGARWAL|Exercise Test Youself|20 Videos

Similar Questions

Explore conceptually related problems

Determine the nature of roots of the following quadratic equations. (iv) 2x^2-5x+7=0 .

Determine the nature of roots of the following quadratic equations. (iv) 2x^2-5x+7=0 .

Determine the nature of roots of the following quadratic equations. (iii) 2x^2-3x-2=0 .

Determine the nature of roots of the following quadratic equations. (iii) 2x^2-3x-2=0 .

Find the nature of the roots of the quadratic equation 3x^(2)-sqrt7x+1=0

Find the roots of the following quadratic equation (2)/(5)x^(2)-x-(3)/(5)=0

Find the roots of the following quadratic equation: (2)/(5)x^(2)-x-(3)/(5)=0

Find the nature of roots of the given quadratic equation : 2x^(2)-6x+3=0

Find the nature of roots of the quadratic equation 2x^(2)-4x+3=0

Find the nature of the roots of the quadratic equation 4x^(2)+4 sqrt(3)x +3=0

RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4D
  1. Find the nature of the roots of the following quadratic equations: (...

    Text Solution

    |

  2. Show that the equation 2(a^2+b^2)x^2+2(a+b)x+1=0 has no real roots whe...

    Text Solution

    |

  3. Show that the roots of the equation x^2 + px - q^2 = 0 are real for al...

    Text Solution

    |

  4. For what values of k are the roots of the quadratic equation 3x^(2)+2k...

    Text Solution

    |

  5. For what value of k are the roots of the quadratic equation kx(x-2sqrt...

    Text Solution

    |

  6. Find the value of p for which the quadratic equation 4x^2+px+3=0 has e...

    Text Solution

    |

  7. Find the nonzero value of k for which the roots of the quadratic equat...

    Text Solution

    |

  8. (i) Find the values of k for which the quadratic equation (3k+1)x^(2)+...

    Text Solution

    |

  9. Find the values of p for whch the equadratic equation (2p+1)x^2-(7p+2)...

    Text Solution

    |

  10. Find the value of p for which the quadratic equation (p+1)x^2+ -6(p+1)...

    Text Solution

    |

  11. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

    Text Solution

    |

  12. If 3 is a root of the quadratic equation x^(2)-x+k=0 find the value of...

    Text Solution

    |

  13. If -4 is a root of the equation x^2+2x+4p=0 then find the value of k f...

    Text Solution

    |

  14. If the equation (1+m^2)x^2+2m c x+(c^2-a^2)=0 has equal roots, prove t...

    Text Solution

    |

  15. If the roots of the equation (c^2-a b)x^2-2(a^2-b c)x+b^2-a c=0 are eq...

    Text Solution

    |

  16. Find the values of p fro which the qadratic equation 2x^(2)+px+8=0 has...

    Text Solution

    |

  17. Find the value of alpha for which the equation (alpha-12)x^(2)+2(alpha...

    Text Solution

    |

  18. For what real values of k the equation 9x^2 +8 Kx +16=0 have real and ...

    Text Solution

    |

  19. Find the values of k for which the given quadratic equation has real a...

    Text Solution

    |

  20. If a and b are real and aneb then show that the roots of the equation ...

    Text Solution

    |