Home
Class 10
MATHS
If alphaandbeta be the roots of the quad...

If `alphaandbeta` be the roots of the quadratic equation `2x^(2)+2x-3=0`, then find the values of
`2alphabeta`.

Text Solution

Verified by Experts

The correct Answer is:
`-3`;
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.4|28 Videos

  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

Similar Questions

Explore conceptually related problems

If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0 , then find the values of alpha+beta+1

If alphaandbeta be the roots of the equation 5x^(2)+2x-3=0 , then find the values of ((1)/(alpha)+(1)/(beta))

The roots of the quadratic equation 2x^2+3x+1 =0 are

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

If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0 , then find the value of the following quantities : (aalpha+b)^(-2)+(abeta+b)^(-2)

If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0 , then find the value of the following quantities : (1)/(aalpha+b)+(1)/(abeta+b)

Two roots of the quadratic equation 2x^(2) +3ix+2 =0 are-

If (2)/(5)and-5 be two roots of the quadratic equation ax^(2)-5x+b=0 , then find the values of a and b.

The roots of the quadratic equation x^(2)+a=0 are ______ .

The sum of the roots of the quadratic equation x^(2)-6x+2=0 is

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.5
  1. Determine the nature of the roots of the qaudratic equation 3sqrt2x^(2...

    Text Solution

    |

  2. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

    Text Solution

    |

  3. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

    Text Solution

    |

  4. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

    Text Solution

    |

  5. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

    Text Solution

    |

  6. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

    Text Solution

    |

  7. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

    Text Solution

    |

  8. Solve by applying Sreedhar Acharya's formula - (px-1)(qx+2)+r=0

    Text Solution

    |

  9. If alphaandbeta be the roots of the quadratic equation x^(2)-px+q=0, t...

    Text Solution

    |

  10. If alphaandbeta be the roots of the equation 5x^(2)+7x+3=0, then find ...

    Text Solution

    |

  11. If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0, t...

    Text Solution

    |

  12. If alphaandbeta be the roots of the quadratic equation ax^(2)+bx+c=0, ...

    Text Solution

    |

  13. If alphaandbeta be the roots of the quadratic equation px^(2)-qx+q=0, ...

    Text Solution

    |

  14. If the ratio of the roots of the quadratic equation lx^(2)+nx+n=0 be p...

    Text Solution

    |

  15. If one root of the equation x^(2)+(5a+2)x+5a+2=0 be 5-times of the oth...

    Text Solution

    |

  16. If the ratio of the roots of the quadratic equation x^(2)-px+q=0 be 2:...

    Text Solution

    |

  17. If the sum of the roots of the equation x^2-px+q=0 be three times thei...

    Text Solution

    |

  18. If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 be equ...

    Text Solution

    |

  19. Show that the roots of the equation (a^2-bc)x^2+2(b^2-ca)x+c^2-ab=0 ar...

    Text Solution

    |

  20. if the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal then...

    Text Solution

    |