Home
Class 12
MATHS
Solve the following: (i)|x-2|=1 (ii) 2|x...

Solve the following: `(i)|x-2|=1` (ii) `2|x+1|^2-|x+1|=3`

Text Solution

AI Generated Solution

Let's solve the given equations step by step. ### Part (i): Solve |x - 2| = 1 1. **Understanding the Absolute Value**: The equation |x - 2| = 1 can be split into two separate equations: - x - 2 = 1 - x - 2 = -1 ...
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE ENGLISH|Exercise Solved Exp|11 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE ENGLISH|Exercise Concept Application Exercise 1.1|12 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.3|11 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE ENGLISH|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Solve the following: |x-2|=1 (ii) 2|x+1|^2-|x+1|=3

Solve the following. 3(x+2)-2(x-1)=7

Solve the following |x^2-1|+|x^2-4|lt=3

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 the following x/2-1/5 = x/3+1/4

Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

Solve the following equations: (i) 2^(x-5)=256 (ii) 2^(x+3)=4^(x-1)

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

If x^2+1/(x^2)=27 , find the values of each of the following: (i) x+1/x (ii) x-1/x

Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)/(x-1) = 1/(x-1)