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Chapter 2: Q. 453 (page 208)

In the following exercises, solve.

|4x+3|=|2x+1|

Short Answer

Expert verified

The solution isx=-1orx=-23

Step by step solution

01

Step 1. Given Information

Absolute value equation:|4x+3|=|2x+1|

02

Step 2. Calculation

We have,

|4x+3|=|2x+1|4x+3=2x+1or4x+3=-(2x+1)4x+3-3=2x+1-3or4x+3-3=-2x-1-34x=2x-2or4x=-2x-44x-2x=2x-2-2xor4x+2x=-2x-4+2x2x=-2or6x=-4x=-22orx=-46x=-1orx=-23

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