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Chapter 2: Q.611 (page 220)

In the following exercises, solve 鈭�2|x鈥�鈭�鈥�3|鈥�+鈥�8鈥�=鈥�鈭�4

Short Answer

Expert verified

The solution of the equation isx=-3or鈥�x=9.

Step by step solution

01

Step 1. Given Information

The given equation is 鈭�2|x鈥�鈭�鈥�3|鈥�+鈥�8鈥�=鈥�鈭�4.

02

Step 2. Solve the given equation.

Solving 鈭�2|x鈥�鈭�鈥�3|鈥�+鈥�8鈥�=鈥�鈭�4

Subtract 8 from both sides , we get:-

-2x-3+8-8=-4-8

-2x-3=-12

Divide both sides by -2 , we get:-

-2x-3-2=-12-2

x-3=6

x-3=-6orx-3=6x=-3or鈥�x=9

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