Home
Class 12
MATHS
The roots of the equation |x^(2)-x-6|=x+...

The roots of the equation `|x^(2)-x-6|=x+2` are

A

1)`-2,1,4`

B

2)`0,2,4`

C

3)`0,1,4`

D

4)`-2,2,4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

Real roots of the equation x^(2)+6|x|+5=0 are

Find the roots of the equation 5x^(2)-6x-2=0 by the method of completing the square.

If m and n are the roots of the equations x^(2) - 6x+ 2 =0 then the value of (1)/(m) + (1)/( n) is :

Form the quadratic equations whose roots are the squares of the roots of the equation x^(2) -2x+ 4 =0

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

Roots of the equation x^(2) -2x+ 1 =0 are :

Let x_(1), x_(2) be the roots of the equation x^(2)-3 x+p=0 and let x_(3), x_(4) be the roots of the equation x^(2)-12 x+q=0 . If the numbers x_(1), x_(2) x_(3), x_(4) (in order) form an increasing G.P. then,

If 'm' and 'n' are the roots of the equation x^(2) - 6x +2=0 , find the value of m^(3)n^(2)+n^(3)m^(2) :

If one of the roots of the equations x^(2) - 5x=0 is zero then the other roots is :

Verify whether 1 and (3)/(2) are the roots of the equation 2x^(2)-5x+3=0

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to th...

    Text Solution

    |

  2. Given that a x^(2)+b x+c has no real roots and a+b+c lt 0 then,

    Text Solution

    |

  3. The roots of the equation |x^(2)-x-6|=x+2 are

    Text Solution

    |

  4. If a, b, c are positive real numbers, then the number of real roots of...

    Text Solution

    |

  5. The value of 'a' for which the equation x^(3) + ax + 1 = 0 and x^(4) +...

    Text Solution

    |

  6. If alpha and beta are the roots of x^(2) + qx + 1 = 0 and gamma, delt...

    Text Solution

    |

  7. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

    Text Solution

    |

  8. Let x(1), x(2) be the roots of the equation x^(2)-3 x+p=0 and let x(3)...

    Text Solution

    |

  9. Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) +...

    Text Solution

    |

  10. If x^(2)+x+1 is a factor of a x^(3)+b x^(2)+c x+d, then the real root ...

    Text Solution

    |

  11. If a le 0 then the real values of x satisfying x^(2)-2 a|x-a|-3 a^(2)=...

    Text Solution

    |

  12. If x^(2)-3 x+2 is a factor of x^(4)-p x^(2)+q, then the values of p an...

    Text Solution

    |

  13. If the equations x^(2)+b^(2)=1-2b x and x^(2)+a^(2)=1-2 a x have one a...

    Text Solution

    |

  14. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

    Text Solution

    |

  15. Let a, b, c be real. If a x^(2)+b x+c=0 has two real roots alpha and...

    Text Solution

    |

  16. Let (sin a) x^(2)+(sin a) x+(1-cos a)=0 . The set of values of a for w...

    Text Solution

    |

  17. If p, q, are real and p ne q then the roots of the equation (p-q) x^(...

    Text Solution

    |

  18. The value of ' c ' for which |alpha^(2)-beta^(2)|=(7)/(4) where alpha ...

    Text Solution

    |

  19. If alpha, beta are the roots of the equation λ (x^(2)-x)+x+5=0 and if ...

    Text Solution

    |

  20. If alpha and beta are the rotos of a x^(2)+b x+c=0 the equation whose ...

    Text Solution

    |