Chapter 8: Q. 331 (page 982)

In the following exercises, solve
$\frac{z}{16} + \frac{z + 2}{4 z} = \frac{1}{2 z}$

Short Answer

Expert verified

The solution is $z = 0, - 4 .$

Step by step solution

Step 1. Given Information

The given rational expression is $\frac{z}{16} + \frac{z + 2}{4 z} = \frac{1}{2 z}$

Step 2. Least Common Denominator(LCD)

The LCD is $16 z$

Multiply the LCD on both sides,

$(16 z) \times [\frac{z}{16} + \frac{z + 2}{4 z}] = \frac{1}{2 z} \times 16 z z^{2} + 4 (z + 2) = 8 z^{2} + 4 z + 8 = 8 z^{2} + 4 z = 0 z (z + 4) = 0$

Step 3. Solution of the equation

Using the zero product property,

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

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In the following exercises, solve
$\frac{z}{16} + \frac{z + 2}{4 z} = \frac{1}{2 z}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Least Common Denominator(LCD)

Step 3. Solution of the equation

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In the following exercises, solvez16+z+24z=12z

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Least Common Denominator(LCD)

Step 3. Solution of the equation

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, solve
$\frac{z}{16} + \frac{z + 2}{4 z} = \frac{1}{2 z}$