Home
Class 11
MATHS
The sum of all real roots of the equatio...

The sum of all real roots of the equation `|x-2|^(2)+|x-2|-2=0` is

A

7

B

4

C

1

D

5

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE|289 Videos
  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|334 Videos
  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE|85 Videos

Similar Questions

Explore conceptually related problems

The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

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

The number of real roots of the equation e^(x - 1) + x - 2 = 0 is

The product of all the solutions of the equation (x-2)^(2)-3|x-2|+2=0 is

Real roots of the equation x^(2/3)+x^(1/3)-2=0 are:

The number of real solutions of the equation 3^(-|x|)-2^(|x|)=0 is:

The roots of the equation 12 x^2 + x - 1 = 0 is :

For a alt=0, determine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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

MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. For any complex number z, the minimum value of |z|+|z-1| is :

    Text Solution

    |

  2. If alpha, beta are the roots of x^2-a(x-1)+b=0, then the value of 1/(a...

    Text Solution

    |

  3. The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is

    Text Solution

    |

  4. The quadratic equation whose roots are three times the roots of 3ax^2 ...

    Text Solution

    |

  5. If a, b, c are real, then both the roots of the equation : (x- b) (x-c...

    Text Solution

    |

  6. If x satisfies the inequations 2x- 7 < 11, 3x+4< -5, then x lies in th...

    Text Solution

    |

  7. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge0 is...

    Text Solution

    |

  8. If the area of the triangle formed by the points z, z+iz and iz is 50 ...

    Text Solution

    |

  9. The locus of z such that : arg [(1 - 2i)z-2+ 5i] = pi/4 is a:

    Text Solution

    |

  10. If z= sqrt3+i, then the argument of z^2 e^(z-i) is equal to :

    Text Solution

    |

  11. If omega ne 1 and omega^3=1, then : (a omega+b+c omega^2)/(a omega^2+...

    Text Solution

    |

  12. The centre of a regular hexagon is at the point z = i. If one of its v...

    Text Solution

    |

  13. If the roots of the equation 1/(x+p)+1/(x+q)=1/r, (x ne -p, x ne -q, r...

    Text Solution

    |

  14. The solution of the equation : (3+2 sqrt2)^(x^2-8)+ (3+2 sqrt2)^(8-x^2...

    Text Solution

    |

  15. If 2 - i is a root of the equation ax^2+ 12x + b=0 (where a and b are ...

    Text Solution

    |

  16. If one root of the equation lx^2+mx+n=0 is 9/2 (l, m and n are positiv...

    Text Solution

    |

  17. If x^2+ 4ax +2 >0 for all values of x, then a lies in the interval:

    Text Solution

    |

  18. If x+iy= sqrt(((a+ib))/((c+id))), then x^2+y^2 equals :

    Text Solution

    |

  19. The solution of the equation |z|-z=1+2i is :

    Text Solution

    |

  20. If alpha and beta are the roots of x^2+x+1=0, then alpha^16 + beta^16 ...

    Text Solution

    |