Home
Class 11
MATHS
If the equation x^2-ax+a+2=0 has equal ...

If the equation `x^2-ax+a+2=0` has equal roots then 'a' will be :

Text Solution

Verified by Experts

The correct Answer is:
`a= 2+sqrt(12) , 2-sqrt(12)`
Promotional Banner

Topper's Solved these Questions

  • BASIC ALGEBRA

    FULL MARKS|Exercise Additional Question sloved|32 Videos

  • BASIC ALGEBRA

    FULL MARKS|Exercise Exercise-2.1|5 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    FULL MARKS|Exercise Additional Questions Solved|31 Videos

Similar Questions

Explore conceptually related problems

If one root of the equation x^(2)+px+12=0 is 4, while the equation x^(2)+px+q=0 has equal roots, then the value of q is

The value of k for which the equation x^2+kx+25=0 has equal roots is

Find the value of a if the equation 2x^2-(a+1)x+(a-1)=0 has equal roots.

If x^2+2(k+2)x+9k=0 has equal roots then k is :

If x^2+px+25=0 , has equal roots, then the value of p is

Number of integral values of a for which the equation x^2-(a+1)x+a-1=0 , has integral roots, is equal to -

If -4 is a root of the equation x^(2)+px-4=0 and if the equation x^(2)+px+q=0 are equal roots, find the values of p and q.

The value of a for which the equation 2x^(2)+2 sqrt(6)x+a=0 has equal roots, is

FULL MARKS-BASIC ALGEBRA-Exercise-2.13
  1. If the equation x^2-ax+a+2=0 has equal roots then 'a' will be :

    Text Solution

    |

  2. If |x + 2| le 9 , then x belongs to

    Text Solution

    |

  3. Given that x, y and b are real numbers x lt y, b gt 0, then

    Text Solution

    |

  4. If (|x-2|)/(x - 2) ge 0, then x belongs to

    Text Solution

    |

  5. The solution of 5x-1lt24 and 5x+1gt-24 is ……..

    Text Solution

    |

  6. The solution set of the following inequality |x - 1| le |x - 3| is

    Text Solution

    |

  7. The value of log(sqrt2)512 is …..

    Text Solution

    |

  8. The value of log(3)""1/81 is …….

    Text Solution

    |

  9. If log(sqrtx)0.25=4 then the value of x is ………

    Text Solution

    |

  10. The value of "log"(a) b "log"(b)c "log"(c ) a is

    Text Solution

    |

  11. If 3 is the logarthim of 343, then the base is ……

    Text Solution

    |

  12. Find a so that the sum and product of the roots of the equation 2x^(2)...

    Text Solution

    |

  13. If a and b are roots of the equation x^(2)-kx+16=0 and satisfy a^(2)+b...

    Text Solution

    |

  14. The number of solutions of x^(2) + |x - 1| = 1 is

    Text Solution

    |

  15. The equation whose roots are numerically equal but opposite in sign to...

    Text Solution

    |

  16. If 8 and 2 are the roots of x^(2) + ax + c = 0 and 3,3 are the roots o...

    Text Solution

    |

  17. If a and b are the real roots of the equation x^(2)-kx+c=0 , then the ...

    Text Solution

    |

  18. If (kx)/((x + 2) (x - 1)) = (2)/(x + 2) + (1)/(x -1) , then the value ...

    Text Solution

    |

  19. If (kx)/((x+2)(x-1))=(2(x-1)+1(x+2))/((x+2)(x-1)) =(3x)/(x+2)(x-1) i...

    Text Solution

    |

  20. The number of roots of (x + 3)^(4) + (x + 5)^(4) = 16 is

    Text Solution

    |

  21. The value of "log"(3)11."log"(11) 13."log"(13)15."log"(15)27."log"(27)...

    Text Solution

    |