Blitzer - College Algebra 8th Edition

Ch. 1 - Equations and Inequalities

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Blitzer 8th Edition

Ch. 1 - Equations and Inequalities

Section 1.4

Problem 23

In Exercises 21–28, divide and express the result in standard form. 2i/(1 + i)

Problem 25

Divide and express the result in standard form. 8i/(4 - 3i)

Problem 47

Perform the indicated operations and write the result in standard form. $\frac{-6 - \sqrt{-12}}{48}$

Problem 49

Perform the indicated operations and write the result in standard form. $\sqrt{-8} \left( \sqrt{-3} - \sqrt{-5} \right)$

Problem 65

Perform the indicated operation(s) and write the result in standard form. (2 - 3i)(1 - i) - (3 - i)(3 + i)

Problem 66

Perform the indicated operation(s) and write the result in standard form. (8 + 9i)(2 - i) - (1 - i)(1 + i)

Problem 96

Perform the indicated operations and write the result in standard form. (1 + i)/(1 + 2i) + (1 - i)/(1 - 2i)

Problem 97

Perform the indicated operations and write the result in standard form. 8/(1 + 2/i)

Problem 101

Exercises 100–102 will help you prepare for the material covered in the next section. Factor: $x^{2} - 6 x + 9$

Section 1.5

Problem 1

Solve each equation in Exercises 1 - 14 by factoring. $x^{2} - 3 x - 10 = 0$

Problem 3

Solve each equation in Exercises 1 - 14 by factoring. $x^{2} = 8 x - 15$

Problem 5

Solve each equation in Exercises 1 - 14 by factoring. $6 x^{2} + 11 x - 10 = 0$

Problem 7

Solve each equation in Exercises 1 - 14 by factoring. $3 x^{2} - 2 x = 8$

Problem 9

Solve each equation in Exercises 1 - 14 by factoring. $3 x^{2} + 12 x = 0$

Problem 11

Solve each equation in Exercises 1 - 14 by factoring. $2 x (x - 3) = 5 x^{2} - 7 x$

Problem 13

Solve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)

Problem 15

Solve each equation in Exercises 15–34 by the square root property. $3 x squared equals 27$

Problem 16

Solve each equation in Exercises 15–34 by the square root property. $5 x squared equals 45$

Problem 19

Solve each equation in Exercises 15–34 by the square root property. $2 x^{2} - 5 = - 55$

Problem 23

Solve each equation in Exercises 15–34 by the square root property. $3 (x - 4)^{2} = 15$

Problem 25

Solve each equation in Exercises 15–34 by the square root property. $(x + 3)^{2} = - 16$

Problem 27

Solve each equation in Exercises 15–34 by the square root property. $(x - 3)^{2} = - 5$

Problem 29

Solve each equation in Exercises 15–34 by the square root property. $(3 x + 2)^{2} = 9$

Problem 35

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $x squared plus 12 x$

Problem 41

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $x squared minus 7 x$

Problem 43

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $x^{2} - \frac{2}{3} x$

Problem 45

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $x^{2} - (1 / 3) x$

Problem 47

Solve each equation in Exercises 47–64 by completing the square. $x^{2} + 6 x = 7$

Problem 49

Solve each equation in Exercises 47–64 by completing the square. $x^{2} - 2 x = 2$

Problem 50

Solve each equation in Exercises 47–64 by completing the square. $x^{2} + 4 x = 12$