Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 7.2, Problem 28WE

(a)

To determine

Tosolve:The given equation by factoring.

(a)

Expert Solution

Answer to Problem 28WE

The solution of the equation is

y=32y=−52 .

Explanation of Solution

Given:

The equation is

4y2+4y−15=0

Calculation:

The solution of the given equation is obtained by factoring.

The given equation can be written as

4y2+4y−15=0

Find the factors of the equation.

4y2+4y−15=04y2+10y−6y−15=02y(2y+5)−3(2y+5)=0(2y−3)(2y+5)=0

Equate (2y−3)=0

y=32

Equate (2y+5)=0

y=−52

Therefore, the solution of the given equation is

y=32y=−52 .

(b)

To determine

Tosolve:The given equation by quadratic formula.

(b)

Expert Solution

Answer to Problem 28WE

The solution of the equation is

y=32y=−52 .

Explanation of Solution

Given:

The equation is

4y2+4y−15=0

Calculation:

The solution of the given equation is obtained by factoring.

The given equation can be written as

4y2+4y−15=0

For a quadratic equation in the form of ax2+bx+c=0 , the solution of this equation is given by

x1,2=−b±b2−4ac2a

Comparing the given equation with the standard quadratic equation, the coefficients are:

a=4b=4c=−15

Substituting these in the formula for the roots.

First take the positive sign.

y1=−(4)+(4)2−4×4×(−15)2×4=−4+2568=−4+168=32

Take the negative sign.

y1=−(4)−(4)2−4×4×(−15)2×4=−4−2568=−4−168=−208=−52

Therefore, the solution of the given equation is

y=32y=−52 .

Chapter 7.2, Problem 27WE

Chapter 7.2, Problem 29WE

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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Tosolve: The given equation by factoring.

Videos

Tosolve:The given equation by factoring.

Answer to Problem 28WE

Explanation of Solution

Tosolve:The given equation by quadratic formula.

Answer to Problem 28WE

Explanation of Solution

Chapter 7 Solutions

Additional Math Textbook Solutions