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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Textbook Question
Chapter A.7, Problem 15E
Find only real solutions in the problems below. If there are no real solutions, say so.
Solve Problems 13–30 by using any method.
15.
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Find the value of the real number a if -1 – 2i is a root of the equation z² + az +5 =0. What is the other root of this equation?
Subtract 1.2a“ – 0.7a from the sum of 0.6 a4 + 1.5a and 0.4 a4 - 1.1a
First, we will translate the words of the problem into mathematical symbols. Then we will perform the indicated operations.
The words of the problem contain the key phrases subtract from and sum.
Since 1.2a4 – 0.7a is to be subtracted from the sum, the order must be reversed when we translate to mathematical symbols.
Subtract 1.2a4
0.7a from the sum of 0.6a + 1.5a and 0.4a4
1.1a.
[(0.6 a4 + 1.5a) + (0.4 at – 1.1a) ] - (1.2a* –
0.7a)
Use brackets [ ] to enclose the sum.
Next, we remove the grouping symbols to obtain
0.6 a4 + 1.5a + 0.4 at – 1.1a -1.2a4 + 0.7a
Change the sign of each term within (1.2a4 - 0.7a) and drop the parentheses.
at+
a
Combine like terms.
%D
Subtract -0.6q? – 0.6q from the sum of 0.1q? - 0.6q and 0.3q² + 0.1q.
If 2 is one root of the equation 4x3 + kx – 24 = 0, then the value of k is
8
–1
impossible to determine
–4
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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- (b) Use the three-digit rounding (and the method of rationalization if appropriate) to express the roots of the quadratic equation 1² – 80.7r – 0.25 = 0. Be sure to write down the result of rounding at each stage.arrow_forward7. Solve the following equations using the quadratic formula. (Hint: Rewrite each equation so that one side of the equation is zero.) a. 6r2 - 7t = 5 e. 6s2 – 10 = -17s f. 2t2 = 3t +9 b. 3x(3x - 4) = -4 | c. (z + 1)(3z -2) 3 2z + 7 g. 5 (4x + 1)(x – 3) d. (x + 2)(x + 4) = 1 h. (2x - 3)2 = 7 %3D |arrow_forwardPlease show each steparrow_forward
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