Chapter 8: Q. 10 (page 917)

In the following exercises, evaluate the rational expression for the given values.
$\frac{z^{2} + 3 z - 10}{z^{2} - 1} (a) z = 0 (b) z = 2 (c) z = - 2$

Short Answer

Expert verified

The required answers are

$Part (a) 10 Part (b) 0 Part (c) - 4$

Step by step solution

Part(a) Step 1. Given Information

The given expression is $\frac{z^{2} + 3 z - 10}{z^{2} - 1}$

Part (a) Step 2. Calculation

Substitute 0 for z,

$\frac{z^{2} + 3 z - 10}{z^{2} - 1} = \frac{{(0)}^{2} + 3 (0) - 10}{{(0)}^{2} - 1} = \frac{- 10}{- 1} = 10$

Part (b) Step 1. Calculation

Substitute 2 for z,

$\frac{z^{2} + 3 z - 10}{z^{2} - 1} = \frac{{(2)}^{2} + 3 (2) - 10}{{(2)}^{2} - 1} = \frac{4 + 6 - 10}{4 - 1} = \frac{0}{3} = 0$

Part (c) Step 1. Calculation

Substitute $- 2$ for z,

$\frac{z^{2} + 3 z - 10}{z^{2} - 1} = \frac{{(- 2)}^{2} + 3 (- 2) - 10}{{(- 2)}^{2} - 1} = \frac{4 - 6 - 10}{4 - 1} = \frac{- 12}{3} = - 4$

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In the following exercises, evaluate the rational expression for the given values.
$\frac{z^{2} + 3 z - 10}{z^{2} - 1} (a) z = 0 (b) z = 2 (c) z = - 2$

Short Answer

Step by step solution

Part(a) Step 1. Given Information

Part (a) Step 2. Calculation

Part (b) Step 1. Calculation

Part (c) Step 1. Calculation

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In the following exercises, evaluate the rational expression for the given values. z2+3z-10z2-1(a)z=0(b)z=2(c)z=-2

Short Answer

Step by step solution

Part(a) Step 1. Given Information

Part (a) Step 2. Calculation

Part (b) Step 1. Calculation

Part (c) Step 1. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Decision Maths

Statistics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, evaluate the rational expression for the given values.
$\frac{z^{2} + 3 z - 10}{z^{2} - 1} (a) z = 0 (b) z = 2 (c) z = - 2$