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Chapter 2: Q. 455 (page 208)

In the following exercises, solve.

|6鈭�x|=|3鈭�2x|

Short Answer

Expert verified

The solution isx=3orx=-3

Step by step solution

01

Step 1. Given information

Absolute value equation:|6鈭�x|=|3鈭�2x|

02

Step 2. Calculation

We have,

|6鈭�x|=|3鈭�2x|6-x=3-2xor6-x=-(3-2x)6-6-x=3-2x-6or6-6-x=-3+2x-6-x=-2x-3or-x=2x-9-x+2x=-2x-3+2xor-x-2x=2x-9-2xx=-3or-3x=-9x=-3orx=-9-3x=-3orx=3

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