Home
Class 12
MATHS
Solve for x (i) 2^(|x+1|)+2^(|x|)=6 an...

Solve for `x`
`(i) 2^(|x+1|)+2^(|x|)=6` and `x in I`
`(ii) x^(2)+x+1+|x-3| le |x^(2)+2x-2|`
`(iii) |2x-4|-2|x^(2)+x-3|+2|x-1||x+1|=0`

Text Solution

Verified by Experts

The correct Answer is:
`(i) -2,1` `(ii) [3,oo)` `(iii) [-1,1]uu[2,oo)`
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

Similar Questions

Explore conceptually related problems

Solve : (i) -2 le ||x^(2) +1| -3 | le 7 (ii) |x^(2) - 4x| le 5

Solve for x (i) |x+1|=4x+3 (ii) |x+1|=|x+3| (iii) 7|x-2|-|x-7|=5 (iv) ||x-1|-2|=6x+8 (v) |2x^(2)-3x+1|=|x^(2)+x-3|

Solve for x: 4^(x) - 3^(x-1/2)=3^(x+1/2)-2^(2x-1) .

Solve the following : (i) |x-2|=(x-2) " (ii) " |x+3| = -x-3 (iii) |x^(2)-x|=x^(2)-x " (iv) " |x^(2)-x-2| =2+x-x^(2)

Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2)-4|+|x^(2)-9|=0 (iii) |x-1|+|x+5| = 6

Solve for x:4^(x)-3^(x-1/2)=3^(x+1/2)-2^(2x-1)

If f(x)= |x - 1| + |x - 3|, then f'(2)= (i)-2 (ii)-1 (iii)0 (iv)2

solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=2x-6 (iii) |x-4|+|x-7| = 11

Solve : (1)/(x^(2) +x) le(1)/(2x^(2) + 2x+3)

RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Define and plot (i) y=|x-2|+3|x-3| (ii) y=||x-2|-3|+|x| (iii)y=|x-...

    Text Solution

    |

  2. Solve for x (i) |x+1|=4x+3 (ii) |x+1|=|x+3| (iii) 7|x-2|-|x-7|=5...

    Text Solution

    |

  3. Solve for x (i) 2^(|x+1|)+2^(|x|)=6 and x in I (ii) x^(2)+x+1+|x-3...

    Text Solution

    |

  4. Solve the following in equalities (i) |x+7| gt 5 (ii) |x+3| lt 10 ...

    Text Solution

    |

  5. Find the number of solution of the following equation (i) |||x-1|-2|...

    Text Solution

    |

  6. If graph of y=(x-1)(x-2) is then draw the graph of the following ...

    Text Solution

    |

  7. Solve the following inequlities (i) sqrt(x-1) lt x-3 (ii) sqrt(x-3) ...

    Text Solution

    |

  8. Find the value of (i) (log(10)5)(log(10)20)+(log(10)2)^(2) (ii) root3...

    Text Solution

    |

  9. Let log(10)2=a and log(10)3=b determine the following in term of a and...

    Text Solution

    |

  10. Solve the following equations : (i) log(x)(4x-3)=2 (ii) log2)(x-1)+log...

    Text Solution

    |

  11. Solve the following equations (i) (log(2)(9-2^(x)))/(3-x)=1 (ii) x^...

    Text Solution

    |

  12. Solve the following inequalities (i) log(5)(3x-1) lt 1 (ii) (log(.5)...

    Text Solution

    |

  13. Solve the following inequalities (i) |log(3)x|-log(3)x-3 lt 0 (ii)(x...

    Text Solution

    |

  14. 1 5^x-25. 3^x-9. 5^x+225 >= 0

    Text Solution

    |

  15. Solve for x (where [*] denotes greatest integer function and {*} repre...

    Text Solution

    |

  16. Solve the following equations (where [*] dentoes greatest integer fu...

    Text Solution

    |

  17. Solve the following equations (where [*] denotes greatest integer func...

    Text Solution

    |

  18. Solve the following inequalities (where [*] denotes greatest integer f...

    Text Solution

    |

  19. Solve the following equations (i) sgn({[x]})=0 (ii) sgn(x^(2)-2x-8)=...

    Text Solution

    |

  20. Find the number of solution of equation (where sgn represent signum fu...

    Text Solution

    |