Home
Class 12
MATHS
The roots of the equation 2x^(2)+14x+9=0...

The roots of the equation `2x^(2)+14x+9=0` are

A

`(6 + sqrt 5)/( 3), (14)/(9)`

B

`(7 + sqrt13)/( 3), (sqrt7 + 31)/( 4)`

C

`(11)/(5) , (sqrt3+ 5)/(3)`

D

`(- 7 + sqrt31 )/(2), (-7- sqrt31)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos

  • NUMBER SYSTEM

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos

  • RATIONAL EXPRESSIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|22 Videos

Similar Questions

Explore conceptually related problems

The roots of the equation x^(2) +6ix-9=0 are :

Find the quadratic equation whose roots are reciprocals of the roots of the equation 7x^(2) - 2x +9 = 0 .

The root of the equation 3^(2x)-10.3^(x)+9=0 are

Let the roots of the equation 24 x ^(3) -14x ^(2) + kx +3=0 form a geometric sequence of real numbers. If absolute value of k lies between the roots of the equation x ^(2)+alpha ^(2) x -122=0, then the largest integral value of alpha is :

Solve the equation 2x^2 + 14x + 9=0

Roots of the equation 16 x ^(2) - 24 x + 9 =0 are

If alpha and beta are the roots of the equation x^(2)-2x+4=0, then alpha^(9)+beta^(9) is equal to

ARIHANT PUBLICATION BIHAR-QUADRATIC EQUATIONS -EXAM BOOSTER (FOR CRACKING EXAM)
  1. The roots of the equation 2x^(2)+14x+9=0 are

    Text Solution

    |

  2. The solution set for equation 4x^(2)-6x=0, when x in N is

    Text Solution

    |

  3. The values of x in the equation a^(2)b^(2)x^(2)-(a^(2)+b^(2))x+1,ane1,...

    Text Solution

    |

  4. The value of 'a' for which the equation ax^(2)-2sqrt(5)x+4=0 has equal...

    Text Solution

    |

  5. The equation (1 + n ^(2)) x ^(2) + 2 ncx + (c ^(2) - a ^(2)) = 0 will ...

    Text Solution

    |

  6. If one solution of 3x^2=8x+2k+1 is seven times the other, find the oth...

    Text Solution

    |

  7. The quadratic equation ,whose roots are (4+sqrt(7))/(2)and(4-sqrt(7))/...

    Text Solution

    |

  8. If alphaandbeta are roots of the equation x^(2)-8x+p=0andalpha^(2)+bet...

    Text Solution

    |

  9. If alphaandbeta are roots of the equation x^(2)-5x+6=0, then the value...

    Text Solution

    |

  10. If alphaandbeta are the roots of the equation ax^(2)+bx+c=0 , then an ...

    Text Solution

    |

  11. If alphaandbeta are the roots of a quadratic equation such that alpha+...

    Text Solution

    |

  12. The two consecutive positive odd integers ,the sum of whose squares is...

    Text Solution

    |

  13. The side (in cm) of a right triangle are x - 1, x and x + 1. The area ...

    Text Solution

    |

  14. Divide 16 into two parts such that twice the square of the larger part...

    Text Solution

    |

  15. Is the equation |x - 3| = 2 equivalent to the quadratic equation x ^(2...

    Text Solution

    |

  16. The roots of the equation x^(2)+px+q=0 are 1 and 2 .The roots of the e...

    Text Solution

    |

  17. If the roots of the quadratic equation px^(2)+qx+r=0 are reciprocal to...

    Text Solution

    |

  18. Sum of roots is -1 and sum of their reciprocals is (1)/(6), then the e...

    Text Solution

    |

  19. The value of x for which 2^(x+4)-2^(x+2)=3 is

    Text Solution

    |

  20. For what value of k will the equation (x^(2)-bx)/(ax-c)=(k-1)/(k+1) ha...

    Text Solution

    |

  21. If alpha and beta be the zeros of the polynomial ax^2 + bx + c, then t...

    Text Solution

    |