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Chapter 2: Q. 2.106 (page 260)

Solve:鈭�2z鈭�54=z8

Short Answer

Expert verified

Thesolutionforthegivenequaitonisz=-2

Step by step solution

01

Step 1. Given information

The given equation is鈭�2z鈭�54=z8

We have to solve the given equation.

02

Step 2. Explanaiton

Solve:鈭�2z鈭�54=z8MultiplybothsidebytheLCD,8鈬�8脳(鈭�2z鈭�54)=8脳(z8)鈬�2(鈭�2z鈭�5)=z(Simplify)鈬�2脳(鈭�2z)鈭�2脳(5)=z(Distribute)鈬�鈭�4z鈭�10=z(Simplify)鈬�鈭�4z鈭�z鈭�10=z-z(Subtractzfrombothsides)鈬�鈭�5z鈭�10=0(Simplify)鈬�鈭�5z鈭�10+10=0+10(add10toboththesides)鈬�鈭�5z=10(Simplify)鈬�鈭�5z鈭�5=10鈭�5(Dividebothsideby-5)鈬�z=-2(Simplify)Thesolutionforthegivenequaitonisz=-2

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