Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Roots

Videos

Question

Chapter 7.3, Problem 6CE

To determine

To run the program (5) to print the roots of the given equation.

Expert Solution

Explanation of Solution

Given:

The given quadratic equation is x2+2x+8=0

Calculation:

The following is the required BASIC Program-

10 INPUT “Enter the value of a”: a

20 INPUT “Enter the value of b”: b

30 INPUT “Enter the value of c”: c

40 LET D=(b×b−4×a×c)

50 If D>=0

60 LET x1=(−(b)+sqrt(D))/2×a

70 LET x2=(−(b)−sqrt(D))/2×a

80 ELSE

90 LET x1=(−(b)+Di)/2×a

100 LET x2=(−(b)−Di)/2×a

110 PRINT “The first root is”: x1

120 PRINT “The second root is”: x2

130 END

DRY RUN of the program:-

INPUT:

Enter the value of a

a=1

Enter the value of b

b=2

Enter the value of c

c=8

OUTPUT:

The first root is −1+2.64575i

The second root is −1−2.64575i

To determine

To run the program (5) to print the roots of the given equation.

Expert Solution

Explanation of Solution

Given:

The given quadratic equation is 4x2−5x−11=0

Calculation:

The following is the required BASIC Program-

10 INPUT “Enter the value of a”: a

20 INPUT “Enter the value of b”: b

30 INPUT “Enter the value of c”: c

40 LET D=(b×b−4×a×c)

50 If D>=0

60 LET x1=(−(b)+sqrt(D))/2×a

70 LET x2=(−(b)−sqrt(D))/2×a

80 ELSE

90 LET

x1=(−(b)+Di)/2×a

100 LET x2=(−(b)−Di)/2×a

110 PRINT “The first root is”: x1

120 PRINT “The second root is”: x2

130 END

DRY RUN of the program:-

INPUT:

Enter the value of a

a=4

Enter the value of b

b=−5

Enter the value of c

c=−11

OUTPUT:

The first root is 2.39718

The second root is −1.14718

To determine

To run the program (5) to print the roots of the given equation.

Expert Solution

Explanation of Solution

Given:

The given quadratic equation is 2x2−6x+7=0

Calculation:

The following is the required BASIC Program-

10 INPUT “Enter the value of a”: a

20 INPUT “Enter the value of b”: b

30 INPUT “Enter the value of c”: c

40 LET D=(b×b−4×a×c)

50 If D>=0

60 LET x1=(−(b)+sqrt(D))/2×a

70 LET x2=(−(b)−sqrt(D))/2×a

80 ELSE

90 LET x1=(−(b)+Di)/2×a

100 LET x2=(−(b)−Di)/2×a

110 PRINT “The first root is”: x1

120 PRINT “The second root is”: x2

130 END

DRY RUN of the program:-

INPUT:

Enter the value of a

a=2

Enter the value of b

b=−6

Enter the value of c

c=7

OUTPUT:

The first root is 1.5+1.11803i

The second root is 1.5−1.11803i

Chapter 7.3, Problem 5CE

Chapter 7.4, Problem 1OE

Chapter 7 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 7.1 - Prob. 1OE Ch. 7.1 - Prob. 2OE Ch. 7.1 - Prob. 3OE Ch. 7.1 - Prob. 4OE Ch. 7.1 - Prob. 5OE Ch. 7.1 - Prob. 6OE Ch. 7.1 - Prob. 7OE Ch. 7.1 - Prob. 8OE Ch. 7.1 - Prob. 9OE Ch. 7.1 - Prob. 10OE

Ch. 7.1 - Prob. 11OE Ch. 7.1 - Prob. 12OE Ch. 7.1 - Prob. 13OE Ch. 7.1 - Prob. 14OE Ch. 7.1 - Prob. 15OE Ch. 7.1 - Prob. 16OE Ch. 7.1 - Prob. 17OE Ch. 7.1 - Prob. 18OE Ch. 7.1 - Prob. 19OE Ch. 7.1 - Prob. 20OE Ch. 7.1 - Prob. 1WE Ch. 7.1 - Prob. 2WE Ch. 7.1 - Prob. 3WE Ch. 7.1 - Prob. 4WE Ch. 7.1 - Prob. 5WE Ch. 7.1 - Prob. 6WE Ch. 7.1 - Prob. 7WE Ch. 7.1 - Prob. 8WE Ch. 7.1 - Prob. 9WE Ch. 7.1 - Prob. 10WE Ch. 7.1 - Prob. 11WE Ch. 7.1 - Prob. 12WE Ch. 7.1 - Prob. 13WE Ch. 7.1 - Prob. 14WE Ch. 7.1 - Prob. 15WE Ch. 7.1 - Prob. 16WE Ch. 7.1 - Prob. 17WE Ch. 7.1 - Prob. 18WE Ch. 7.1 - Prob. 19WE Ch. 7.1 - Prob. 20WE Ch. 7.1 - Prob. 21WE Ch. 7.1 - Prob. 22WE Ch. 7.1 - Prob. 23WE Ch. 7.1 - Prob. 24WE Ch. 7.1 - Prob. 25WE Ch. 7.1 - Prob. 26WE Ch. 7.1 - Prob. 27WE Ch. 7.1 - Prob. 28WE Ch. 7.1 - Prob. 29WE Ch. 7.1 - Prob. 30WE Ch. 7.1 - Prob. 31WE Ch. 7.1 - Prob. 32WE Ch. 7.1 - Prob. 33WE Ch. 7.1 - Prob. 34WE Ch. 7.1 - Prob. 35WE Ch. 7.1 - Prob. 36WE Ch. 7.1 - Prob. 37WE Ch. 7.1 - Prob. 38WE Ch. 7.1 - Prob. 39WE Ch. 7.1 - Prob. 40WE Ch. 7.1 - Prob. 41WE Ch. 7.1 - Prob. 42WE Ch. 7.1 - Prob. 1MRE Ch. 7.1 - Prob. 2MRE Ch. 7.1 - Prob. 3MRE Ch. 7.1 - Prob. 4MRE Ch. 7.1 - Prob. 5MRE Ch. 7.1 - Prob. 6MRE Ch. 7.1 - Prob. 7MRE Ch. 7.1 - Prob. 8MRE Ch. 7.1 - Prob. 9MRE Ch. 7.2 - Prob. 1OE Ch. 7.2 - Prob. 2OE Ch. 7.2 - Prob. 3OE Ch. 7.2 - Prob. 4OE Ch. 7.2 - Prob. 5OE Ch. 7.2 - Prob. 6OE Ch. 7.2 - Prob. 1WE Ch. 7.2 - Prob. 2WE Ch. 7.2 - Prob. 3WE Ch. 7.2 - Prob. 4WE Ch. 7.2 - Prob. 5WE Ch. 7.2 - Prob. 6WE Ch. 7.2 - Prob. 7WE Ch. 7.2 - Prob. 8WE Ch. 7.2 - Prob. 9WE Ch. 7.2 - Prob. 10WE Ch. 7.2 - Prob. 11WE Ch. 7.2 - Prob. 12WE Ch. 7.2 - Prob. 13WE Ch. 7.2 - Prob. 14WE Ch. 7.2 - Prob. 15WE Ch. 7.2 - Prob. 16WE Ch. 7.2 - Prob. 17WE Ch. 7.2 - Prob. 18WE Ch. 7.2 - Prob. 19WE Ch. 7.2 - Prob. 20WE Ch. 7.2 - Prob. 21WE Ch. 7.2 - Prob. 22WE Ch. 7.2 - Prob. 23WE Ch. 7.2 - Prob. 24WE Ch. 7.2 - Prob. 25WE Ch. 7.2 - Prob. 26WE Ch. 7.2 - Prob. 27WE Ch. 7.2 - Prob. 28WE Ch. 7.2 - Prob. 29WE Ch. 7.2 - Prob. 30WE Ch. 7.2 - 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Prob. 8WE Ch. 7.3 - Prob. 9WE Ch. 7.3 - Prob. 10WE Ch. 7.3 - Prob. 11WE Ch. 7.3 - Prob. 12WE Ch. 7.3 - Prob. 13WE Ch. 7.3 - Prob. 14WE Ch. 7.3 - Prob. 15WE Ch. 7.3 - Prob. 16WE Ch. 7.3 - Prob. 17WE Ch. 7.3 - Prob. 18WE Ch. 7.3 - Prob. 19WE Ch. 7.3 - Prob. 20WE Ch. 7.3 - Prob. 21WE Ch. 7.3 - Prob. 22WE Ch. 7.3 - Prob. 23WE Ch. 7.3 - Prob. 24WE Ch. 7.3 - Prob. 25WE Ch. 7.3 - Prob. 26WE Ch. 7.3 - Prob. 27WE Ch. 7.3 - Prob. 28WE Ch. 7.3 - Prob. 29WE Ch. 7.3 - Prob. 30WE Ch. 7.3 - Prob. 31WE Ch. 7.3 - Prob. 32WE Ch. 7.3 - Prob. 33WE Ch. 7.3 - Prob. 34WE Ch. 7.3 - Prob. 35WE Ch. 7.3 - Prob. 36WE Ch. 7.3 - Prob. 37WE Ch. 7.3 - Prob. 38WE Ch. 7.3 - Prob. 39WE Ch. 7.3 - Prob. 40WE Ch. 7.3 - Prob. 41WE Ch. 7.3 - Prob. 42WE Ch. 7.3 - Prob. 43WE Ch. 7.3 - Prob. 1MRE Ch. 7.3 - Prob. 2MRE Ch. 7.3 - Prob. 3MRE Ch. 7.3 - Prob. 4MRE Ch. 7.3 - Prob. 5MRE Ch. 7.3 - Prob. 6MRE Ch. 7.3 - Prob. 7MRE Ch. 7.3 - Prob. 8MRE Ch. 7.3 - Prob. 9MRE Ch. 7.3 - Prob. 10MRE Ch. 7.3 - Prob. 11MRE Ch. 7.3 - Prob. 12MRE Ch. 7.3 - Prob. 13MRE Ch. 7.3 - Prob. 14MRE Ch. 7.3 - Prob. 1CE Ch. 7.3 - Prob. 2CE Ch. 7.3 - Prob. 3CE Ch. 7.3 - Prob. 4CE Ch. 7.3 - Prob. 5CE Ch. 7.3 - Prob. 6CE Ch. 7.4 - Prob. 1OE Ch. 7.4 - Prob. 2OE Ch. 7.4 - Prob. 3OE Ch. 7.4 - Prob. 4OE Ch. 7.4 - Prob. 5OE Ch. 7.4 - Prob. 6OE Ch. 7.4 - Prob. 7OE Ch. 7.4 - Prob. 8OE Ch. 7.4 - Prob. 9OE Ch. 7.4 - Prob. 10OE Ch. 7.4 - Prob. 11OE Ch. 7.4 - Prob. 12OE Ch. 7.4 - Prob. 1WE Ch. 7.4 - Prob. 2WE Ch. 7.4 - Prob. 3WE Ch. 7.4 - Prob. 4WE Ch. 7.4 - Prob. 5WE Ch. 7.4 - Prob. 6WE Ch. 7.4 - Prob. 7WE Ch. 7.4 - Prob. 8WE Ch. 7.4 - Prob. 9WE Ch. 7.4 - Prob. 10WE Ch. 7.4 - Prob. 11WE Ch. 7.4 - Prob. 12WE Ch. 7.4 - Prob. 13WE Ch. 7.4 - Prob. 14WE Ch. 7.4 - Prob. 15WE Ch. 7.4 - Prob. 16WE Ch. 7.4 - Prob. 17WE Ch. 7.4 - Prob. 18WE Ch. 7.4 - Prob. 19WE Ch. 7.4 - Prob. 20WE Ch. 7.4 - Prob. 21WE Ch. 7.4 - Prob. 22WE Ch. 7.4 - Prob. 23WE Ch. 7.4 - Prob. 24WE Ch. 7.4 - Prob. 25WE Ch. 7.4 - Prob. 26WE Ch. 7.4 - Prob. 27WE Ch. 7.4 - Prob. 28WE Ch. 7.4 - Prob. 29WE Ch. 7.4 - Prob. 30WE Ch. 7.4 - Prob. 31WE Ch. 7.4 - Prob. 32WE Ch. 7.4 - Prob. 1ST Ch. 7.4 - Prob. 2ST Ch. 7.4 - Prob. 3ST Ch. 7.4 - Prob. 4ST Ch. 7.4 - Prob. 5ST Ch. 7.4 - Prob. 6ST Ch. 7.4 - Prob. 7ST Ch. 7.4 - Prob. 8ST Ch. 7.4 - Prob. 9ST Ch. 7.4 - Prob. 10ST Ch. 7.5 - Prob. 1OE Ch. 7.5 - Prob. 2OE Ch. 7.5 - Prob. 3OE Ch. 7.5 - Prob. 4OE Ch. 7.5 - Prob. 5OE Ch. 7.5 - Prob. 6OE Ch. 7.5 - Prob. 7OE Ch. 7.5 - Prob. 8OE Ch. 7.5 - Prob. 9OE Ch. 7.5 - Prob. 10OE Ch. 7.5 - Prob. 11OE Ch. 7.5 - Prob. 12OE Ch. 7.5 - Prob. 13OE Ch. 7.5 - Prob. 14OE Ch. 7.5 - Prob. 15OE Ch. 7.5 - Prob. 16OE Ch. 7.5 - Prob. 17OE Ch. 7.5 - Prob. 1WE Ch. 7.5 - Prob. 2WE Ch. 7.5 - Prob. 3WE Ch. 7.5 - Prob. 4WE Ch. 7.5 - Prob. 5WE Ch. 7.5 - Prob. 6WE Ch. 7.5 - Prob. 7WE Ch. 7.5 - Prob. 8WE Ch. 7.5 - Prob. 9WE Ch. 7.5 - Prob. 10WE Ch. 7.5 - Prob. 11WE Ch. 7.5 - Prob. 12WE Ch. 7.5 - Prob. 13WE Ch. 7.5 - Prob. 14WE Ch. 7.5 - Prob. 15WE Ch. 7.5 - Prob. 16WE Ch. 7.5 - Prob. 17WE Ch. 7.5 - Prob. 18WE Ch. 7.5 - Prob. 19WE Ch. 7.5 - Prob. 20WE Ch. 7.5 - Prob. 21WE Ch. 7.5 - Prob. 22WE Ch. 7.5 - Prob. 23WE Ch. 7.5 - Prob. 24WE Ch. 7.5 - Prob. 25WE Ch. 7.5 - Prob. 26WE Ch. 7.5 - Prob. 27WE Ch. 7.5 - Prob. 28WE Ch. 7.5 - Prob. 29WE Ch. 7.5 - Prob. 30WE Ch. 7.5 - Prob. 31WE Ch. 7.5 - Prob. 32WE Ch. 7.5 - Prob. 33WE Ch. 7.5 - Prob. 34WE Ch. 7.5 - Prob. 35WE Ch. 7.5 - Prob. 36WE Ch. 7.5 - Prob. 37WE Ch. 7.5 - Prob. 38WE Ch. 7.5 - Prob. 39WE Ch. 7.5 - Prob. 1MRE Ch. 7.5 - Prob. 2MRE Ch. 7.5 - Prob. 3MRE Ch. 7.5 - Prob. 4MRE Ch. 7.5 - Prob. 5MRE Ch. 7.5 - Prob. 6MRE Ch. 7.6 - Prob. 1OE Ch. 7.6 - Prob. 2OE Ch. 7.6 - Prob. 3OE Ch. 7.6 - Prob. 4OE Ch. 7.6 - Prob. 5OE Ch. 7.6 - Prob. 6OE Ch. 7.6 - Prob. 7OE Ch. 7.6 - Prob. 1WE Ch. 7.6 - Prob. 2WE Ch. 7.6 - Prob. 3WE Ch. 7.6 - Prob. 4WE Ch. 7.6 - Prob. 5WE Ch. 7.6 - Prob. 6WE Ch. 7.6 - Prob. 7WE Ch. 7.6 - Prob. 8WE Ch. 7.6 - Prob. 9WE Ch. 7.6 - Prob. 10WE Ch. 7.6 - Prob. 11WE Ch. 7.6 - Prob. 12WE Ch. 7.6 - Prob. 13WE Ch. 7.6 - Prob. 14WE Ch. 7.6 - Prob. 15WE Ch. 7.6 - Prob. 16WE Ch. 7.6 - Prob. 17WE Ch. 7.6 - Prob. 18WE Ch. 7.6 - Prob. 19WE Ch. 7.6 - Prob. 20WE Ch. 7.6 - Prob. 21WE Ch. 7.6 - Prob. 22WE Ch. 7.6 - Prob. 23WE Ch. 7.6 - Prob. 24WE Ch. 7.6 - Prob. 25WE Ch. 7.6 - Prob. 26WE Ch. 7.6 - Prob. 27WE Ch. 7.6 - Prob. 28WE Ch. 7.6 - Prob. 29WE Ch. 7.6 - Prob. 30WE Ch. 7.6 - Prob. 31WE Ch. 7.6 - Prob. 32WE Ch. 7.6 - Prob. 33WE Ch. 7.6 - Prob. 34WE Ch. 7.6 - Prob. 35WE Ch. 7.6 - Prob. 36WE Ch. 7.6 - Prob. 37WE Ch. 7.6 - Prob. 38WE Ch. 7.6 - Prob. 39WE Ch. 7.6 - Prob. 40WE Ch. 7.6 - Prob. 41WE Ch. 7.6 - Prob. 42WE Ch. 7.6 - Prob. 43WE Ch. 7.6 - Prob. 44WE Ch. 7.7 - Prob. 1OE Ch. 7.7 - Prob. 2OE Ch. 7.7 - Prob. 3OE Ch. 7.7 - Prob. 4OE Ch. 7.7 - Prob. 5OE Ch. 7.7 - Prob. 6OE Ch. 7.7 - Prob. 7OE Ch. 7.7 - Prob. 8OE Ch. 7.7 - Prob. 9OE Ch. 7.7 - Prob. 10OE Ch. 7.7 - Prob. 11OE Ch. 7.7 - Prob. 12OE Ch. 7.7 - Prob. 13OE Ch. 7.7 - Prob. 14OE Ch. 7.7 - Prob. 15OE Ch. 7.7 - Prob. 1WE Ch. 7.7 - Prob. 2WE Ch. 7.7 - Prob. 3WE Ch. 7.7 - Prob. 4WE Ch. 7.7 - Prob. 5WE Ch. 7.7 - Prob. 6WE Ch. 7.7 - 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