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Chapter 2: Q. 613 (page 221)

In the following exercises, solve 6x-5鈥�=鈥�|2x鈥�+鈥�3|

Short Answer

Expert verified

The solution of the given equation is x=14or鈥�x=2

Step by step solution

01

Step 1. Given Information.

The given equation is 6x-5鈥�=鈥�|2x鈥�+鈥�3|.

02

Step 2. Solve the given equation.

Solving 6x-5鈥�=鈥�|2x鈥�+鈥�3|

The positive and negative interval are:-

x<-32,鈥�-32鈮�鈥�x<56,鈥�x鈮�56

03

Step 3. Solve the inequality for each interval.

We get:-

鈥�x=14or鈥�x=2

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