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

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

A

`-2,1,4`

B

0,2,4

C

0,1,4

D

`-2,2,4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (single correct answer type questions))|20 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise (Concept-based single correct answer type questions)|20 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

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

Sum of integral roots of the equation |x^(2)-x-6|=x+2 is

The difference between the roots of the equation x^2-6x- 16 = 0 is:

If the difference of the roots of the equation x^(2)-5x+6=0 is same as the difference of the roots of the equation x^(2)+bx+c=0 then minimum value of x^(2)+bx+c=0 is _________

The roots of the equation 2x^(2)-6x+7=0 are

The roots of the equation 2x^(2)-6x+3=0 are

The product of all the roots of the equation x^(2)-|x|-6=0 is

x^(4)-4x^(3)+6x^(2)-4x+1=0 The roots of the equation are

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Exercise ( Level 1 (single correct answer type questions))
  1. The number of values of a for which equations x^3+a x+1=0a n dx 64+a x...

    Text Solution

    |

  2. The number of values of a for which equations x^3+a x+1=0a n dx 64+a x...

    Text Solution

    |

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

    Text Solution

    |

  4. The number of real roots of the equation |x|^(2) -3|x| + 2 = 0, is

    Text Solution

    |

  5. The least value of n in N for which (n - 4)x^(2) + 8x + n + 2 gt 0 AA ...

    Text Solution

    |

  6. Let f(x) be a quadratic expression such that f(x) lt 0 AA x in R . If ...

    Text Solution

    |

  7. If x + 1 is a factor of x^(4) + (p - 3) x^(3) - (3p - 5) x^(2) + (2p -...

    Text Solution

    |

  8. If both the roots of the equation are negative x^2-(p-4)x+2e^(2lnp)-4=...

    Text Solution

    |

  9. [ Let f and g be two real valued functions and S={x|f(x)=0} and T={x|g...

    Text Solution

    |

  10. [ If domain of f(x)=sqrt(x^(2)+bx+4) is R, then maxi- mum possible in...

    Text Solution

    |

  11. If p in (-1, 1) , then roots of the quadratic equation (p - 1)x^(2) + ...

    Text Solution

    |

  12. If a,b,c are positive real numbers, then the number of positive real r...

    Text Solution

    |

  13. If the roots of the equation x^(2) + p^(2) = 8x + 6p are real, then p ...

    Text Solution

    |

  14. If the sum of the roots of the equation (a+1)x^2=(2a+3)x+(3a+4)=0 is -...

    Text Solution

    |

  15. If 3 - 4i is a root of x^(2) - px + q = 0 where p, q in R. then value...

    Text Solution

    |

  16. If x = 1 + i is a root of x^(3) - ix + 1 - i = 0 , then the quadratic ...

    Text Solution

    |

  17. If alpha and beta be the roots of the eqution x^(2) +px -1/ (2p^(2))...

    Text Solution

    |

  18. The equation sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))= hs

    Text Solution

    |

  19. The equation [ x - x^(2) - 1| = |2 x - 3 - x^(2) ] has

    Text Solution

    |

  20. If sin alpha, cos alpha are the roots of the equation ax^(2) + bx + c ...

    Text Solution

    |