Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter A.7, Problem 36E
Find only real solutions in the problems below. If there are no real solutions, say so.
In Problems 31–38, factor, if possible, as the product of two first-degree polynomials with integer coefficients. Use the
36.
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Chapter A.7 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. A.7 - Use the square-root property to solve each...Ch. A.7 - Solve by factoring using integer coefficients, if...Ch. A.7 - Solve 2x24x3=0 using the quadratic formula.Ch. A.7 - Factor, if possible, using integer coefficients....Ch. A.7 - Find all real solutions to 6x5+192=0.Ch. A.7 - Repeat Example 6 if near the end of summer, the...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...
Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 7ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 9ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 17ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 26ECh. A.7 - Prob. 27ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 29ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Solve x2 + 3mx 3n = 0 for x in terms of m and n.Ch. A.7 - Consider the quadratic equation x2+4x+c=0 where c...Ch. A.7 - Consider the quadratic equation x2+2x+c=0 where c...Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - Supply and demand. A company wholesales shampoo in...Ch. A.7 - Supply and demand. An importer sells an automatic...Ch. A.7 - Interest rate. If P dollars are invested at 100r...Ch. A.7 - Interest rate. Using the formula in Problem 51,...Ch. A.7 - Ecology. To measure the velocity v (in feet per...Ch. A.7 - Safety research. It is of considerable importance...
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- In Problems 57–68, solve each equation in the real number system. 57. x* - x + 2x? - 4x - 8 = 0 58. 2x + 3x? + 2x + 3 = 0 59. 3x + 4x? - 7x + 2 = 0 60. 2x – 3x –- 3x – 5 = 0 234 CHAPTER 4 Polynomial and Rational Functions 61. 3x – x? - 15x + 5 = 0 62. 2x - 11x² + 10x + 8 = 0 63. x* + 4x + 2r? - x + 6 = 0 64. x* - 2x + 10x? - 1&r + 9 == (0 8 +x +1 = 0 65. x 66. х + + 3x - 2 = 0 67. 2x - 19x + 57x - 64x + 20 = 0 68. 2x + x - 24x + 20x + 16 = 0arrow_forwardSimplify the algebraic expressions in Problems 1–14 by combining similar terms. 4x - 9x + 2yarrow_forwardSimplify the algebraic expressions in Problems 1–14 by combining similar terms. 4n - 9n - narrow_forward
- 3– 4. Perform the indicated operations and then simplify. Write your answers in factored form. 29 (x² – x – 2\ 1- x2 2x +8 + x- 4 x2 – 2x + 1 - 5x + 4. 2 4. - 1 x + 4x ++ 3 2 x2 + 2x - 3 x+ 3arrow_forwardExercises 38–40 will help you prepare for the material covered in the first section of the next chapter. In Exercises 38-39, simplify each algebraic expression. 38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6) 39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9) 40. The figures show the graphs of two functions. y y 201 10- .... -20- flx) = x³ glx) = -0.3x + 4x + 2arrow_forwardIn Problems 111–116, solve each equation. The letters a, b, and c are constants.arrow_forward
- For Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples. • In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2). • Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5). To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that x + 4 = (x + 2i)(x – 2i). 115. а. х - 9 116. а. х? - 100 117. а. х - 64 b. x + 9 b. + 100 b. x + 64 118. а. х — 25 119. а. х— 3 120. а. х — 11 b. x + 25 b. x + 3 b. x + 11arrow_forward. 3x + 1 = x² + 7x – 1arrow_forwardIn Problems 67–74, complete the square of each quadratic expression. Then graph each function using the technique of shifting.(If necessary, refer to Appendix A, Section A.3 to review completing the square.)arrow_forward
- Exercises 143–145 will help you prepare for the material covered in the next section. In each exercise, factor completely. 143. 2r + 8x? + 8x 144. 5x3 – 40x?y + 35xy2 145. 96?x + 9b²y – 16x – 16y -arrow_forward3. Factor. x 2+5x -36= (x-A) (x+B) where A= B=arrow_forwardd. e. f. 8x³+10x² - 12x - 15 2x² - 3 I 3x4 - 2x² - 5 3x² - 5 x¹ − 3⁄/ x³ + 3x² − { x + ? 4 3 5 9 - 2 X - 1 2arrow_forward
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