Blitzer - College Algebra 8th Edition

Ch. 1 - Equations and Inequalities

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Blitzer 8th Edition

Ch. 1 - Equations and Inequalities

Section 1.5

Problem 51

Solve each equation in Exercises 47–64 by completing the square. $x^{2} - 6 x - 11 = 0$

Problem 53

Solve each equation in Exercises 47–64 by completing the square. $x^{2} + 4 x + 1 = 0$

Problem 55

Solve each equation in Exercises 47–64 by completing the square. $x^{2} - 5 x + 6 = 0$

Problem 57

Solve each equation in Exercises 47–64 by completing the square. $x^{2} + 3 x - 1 = 0$

Problem 59

Solve each equation in Exercises 47–64 by completing the square. $2 x^{2} - 7 x + 3 = 0$

Problem 61

Solve each equation in Exercises 47–64 by completing the square. $4 x^{2} - 4 x - 1 = 0$

Problem 63

Solve each equation in Exercises 47–64 by completing the square. $3 x^{2} - 2 x - 2 = 0$

Problem 65

Solve each equation in Exercises 65–74 using the quadratic formula. $x^{2} + 8 x + 15 = 0$

Problem 69

Solve each equation in Exercises 65–74 using the quadratic formula. $3 x^{2} - 3 x - 4 = 0$

Problem 71

Solve each equation in Exercises 65–74 using the quadratic formula. $4 x^{2} = 2 x + 7$

Problem 75

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. $x^{2} - 4 x - 5 = 0$

Problem 77

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. $2 x^{2} - 11 x + 3 = 0$

Problem 85

Solve each equation in Exercises 83–108 by the method of your choice. $5 x^{2} + 2 = 11 x$

Problem 87

Solve each equation in Exercises 83–108 by the method of your choice. $3 x squared equals 60$

Problem 89

Solve each equation in Exercises 83–108 by the method of your choice. $x^{2} - 2 x = 1$

Problem 95

Solve each equation in Exercises 83–108 by the method of your choice. $3 x^{2} - 12 x + 12 = 0$

Problem 96

Solve each equation in Exercises 83–108 by the method of your choice. $9 - 6 x + x^{2} = 0$

Problem 97

Solve each equation in Exercises 83–108 by the method of your choice. $4 x^{2} - 16 = 0$

Problem 99

Solve each equation in Exercises 83–108 by the method of your choice. $x^{2} - 6 x + 13 = 0$

Problem 101

Solve each equation in Exercises 83–108 by the method of your choice. $x^{2} = 4 x - 7$

Problem 103

Solve each equation in Exercises 83–108 by the method of your choice. $2 x^{2} - 7 x = 0$

Problem 106

Solve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4

Problem 179

Exercises 177–179 will help you prepare for the material covered in the next section. If $negative 8$ is substituted for x in the equation $5 x^{\frac{2}{3}} + 11 x^{\frac{1}{3}} + 2 = 0$ , is the resulting statement true or false?

Section 1.6

Problem 2

Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle. $5 x^{4} - 20 x^{2} = 0$

Problem 4

Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle. $4 x^{3} - 12 x^{2} = 9 x - 27$

Problem 7

Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle. $4 y^{3} - 2 = y - 8 y^{2}$

Problem 10

Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle. $3 x^{4} = 81 x$

Problem 13

Solve each radical equation in Exercises 11–30. Check all proposed solutions. √(x + 3) = x - 3

Problem 16

Solve each radical equation in Exercises 11–30. Check all proposed solutions. √(6x + 1) = x - 1

Problem 19

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $\sqrt{2x + 19} - 8 = x$