Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 7.2, Problem 26WE

(a)

To determine

Tosolve:The given equation by factoring.

(a)

Expert Solution
Check Mark

Answer to Problem 26WE

The solution of the equation is y1,2=±4 .

Explanation of Solution

Given:

The equation is

  3y2−48=0

Calculation:

The solution of the given equation is obtained by factoring.

The given equation can be written as

  3y2−48=0y2−16=0

Find the factors of the equation.

  y2−16=0y2−42=0(y−4)(y+4)=0

Equate (y−4)=0

  y=4

Equate (y+4)=0

  y=−4

Therefore, the solution of the given equation is

  y=4y=−4 .

Therefore, the solution of the equation is y1,2=±4 .

.

(b)

To determine

Tosolve:The given equation by quadratic formula.

(b)

Expert Solution
Check Mark

Answer to Problem 26WE

The solution of the equation is y1,2=±4 .

Explanation of Solution

Given:

The equation is

  3y2−48=0

Calculation:

The solution of the given equation is obtained by using the quadratic formula.

The given equation can be written as

  3y2−48=0y2−16=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=1b=0c=−16

Substituting these in the formula for the roots.

First take the positive sign.

  y1=−(0)+(0)2−4×1×(−16)2×1=0+642=82=4

Take the negative sign.

  y2=−(0)−(0)2−4×1×(−16)2×1=0−642=−82=−4

Therefore, the solution of the given radical equation is

  y=4y=−4 .

Therefore, the solution of the equation is y1,2=±4 .

.

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Chapter 7.2, Problem 25WE
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Chapter 7.2, Problem 27WE

Chapter 7 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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

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