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Chapter 8: Q. 331 (page 982)

In the following exercises, solve

z16+z+24z=12z

Short Answer

Expert verified

The solution isz=0,-4.

Step by step solution

01

Step 1. Given Information

The given rational expression isz16+z+24z=12z

02

Step 2. Least Common Denominator(LCD)

The LCD is 16z

Multiply the LCD on both sides,

(16z)脳[z16+z+24z]=12z脳16zz2+4(z+2)=8z2+4z+8=8z2+4z=0z(z+4)=0

03

Step 3. Solution of the equation

Using the zero product property,

z=0;z+4=0z=0;z=-4

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