Home
Class 10
MATHS
The roots of a quadratic equation ax^(...

The roots of a quadratic equation
`ax^(2) + bx + c = 0 "is"`

A

`(-b+sqrt(b^2-4ac))/(ac)`

B

`(-b-sqrt(b^2-4))/3`

C

`(-b-sqrt(b-4ac))/2`

D

`(-b+sqrt(b^2-4ac))/(2a)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise CREATIVE BITS FOR CCE MODEL EXAMINATION|130 Videos

  • PROGRESSIONS (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise PROGRESSIONS (MULTIPLE CHOICE QUESTION)|20 Videos

  • QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)|20 Videos

Similar Questions

Explore conceptually related problems

Show that the sum of roots of a quadratic equation ax^(2) + bx + c = 0 "is" (-b)/a

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

Show that the sum of roots of a quadratic equation ax^(2) + bx + c = 0 (a ne 0) is (-b)/(a) .

If the roots of a quadratic equation ax^(2) + bx + c = 0 are real and equal then b^(2) =…

The product of roots of quadratic equation ax^(2) + bx + c = 0 is

If alpha, beta are the roots of the quadratic equation ax^(2) + bx + c = 0 then form the quadratic equation whose roots are palpha, pbeta where p is a real number.

The roots of a quadratic equation ax^2- bx + c = 0, a ne 0 are

Show that the product of the roots of a quadratic equation ax^(2)+bx+c=0 (a ne 0) is (c )/(a) .

VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS-EXERCISE
  1. Form a quadratic equation whose roots are k and 1/k

    Text Solution

    |

  2. The roots of a quadratic equation x/p = p/x are

    Text Solution

    |

  3. The roots of a quadratic equation ax^(2) + bx + c = 0 "is"

    Text Solution

    |

  4. The product of the roots of the quadratic equationsqrt 2 x^(2) - 3x + ...

    Text Solution

    |

  5. In the above problem a5=…

    Text Solution

    |

  6. The sum of the roots of the quadratic equation 5x^(2) + 4 sqrt 3 x - 1...

    Text Solution

    |

  7. Find the zeroes of the quadratic polynomials given below. Find the sum...

    Text Solution

    |

  8. The quadratic equation whose roots are -3 and -4 is …

    Text Solution

    |

  9. If one root of a quadratic equation is 7 - sqrt 3 then the quadratic e...

    Text Solution

    |

  10. The nature of the roots of a quadratic equation 4x^(2) + 5x + 1 = 0 is...

    Text Solution

    |

  11. The nature of the roots of quadratic equation 3x^(2) + x + 8 = 0 is…

    Text Solution

    |

  12. The nature of the roots of a quadratic equation 4x^(2) - 12x + 9 = 0 i...

    Text Solution

    |

  13. The roots of a quadratic equation (sqrt 2 x + 3) (5x - sqrt 3) = 0are…...

    Text Solution

    |

  14. The roots of the quadratic equation (x^(2) - 8)/(x^(2) + 20) = 1/2 are...

    Text Solution

    |

  15. The discriminant of 5x^(2) - 3x - 2 = 0 is…

    Text Solution

    |

  16. If b^(2) -4ac lt 0 then the roots of the quadratic equation are…

    Text Solution

    |

  17. "If" b^(2) -4ac = 0 then the roots of the quadratic equation are…

    Text Solution

    |

  18. For what positive value of x the quadratic equation 4x^(2) - 9 = 0

    Text Solution

    |

  19. If the roots of a quadratic equation ax^(2) + bx + c = 0 are real and ...

    Text Solution

    |

  20. The roots of 4x^2 - 20x + 25 = 0 are ...........

    Text Solution

    |