Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5.8, Problem 20WE

To determine

To find the open sentence of u(u−1)2+13=u(2−u)4

Expert Solution & Answer

Answer to Problem 20WE

The value of open sentence is u={23}

Explanation of Solution

Given open sentence is u(u−1)2+13=u(2−u)4

Value of open sentence means a sentence is it true and depend upon the variable values .

u(u−1)2+13=u(2−u)4

Multiply both the sides by 12, the LCM of 2,3 and 4

12(u(u−1)2+13)=12(u(2−u)4)

Apply distributive property and simplify [a(b±c)=a∗b±a*c]

6u(u−1)+4=3u(2−u)6u2−6u+4=6u−3u2

Arrange both sides

6u2+3u2−6u−6u+4=09u2−12u+4=0

Use factorization and simplify

9u2−12u+4=0Apply quadratic root equation−b±b2−4ac2a where a=9, b=−12 and c=4u1,2=−(−12)±(−12)2−4(9)(4)2(9)u1,2=12±144−14418u1,2=1218=23

Hence, the open sentence variable values are same point x={23}

Chapter 5.8, Problem 19WE

Chapter 5.8, Problem 21WE

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OE Ch. 5.1 - Prob. 2OE Ch. 5.1 - Prob. 3OE Ch. 5.1 - Prob. 4OE Ch. 5.1 - Prob. 5OE Ch. 5.1 - Prob. 6OE Ch. 5.1 - Prob. 7OE Ch. 5.1 - Prob. 8OE Ch. 5.1 - Prob. 9OE Ch. 5.1 - Prob. 10OE

Ch. 5.1 - Prob. 11OE Ch. 5.1 - Prob. 12OE Ch. 5.1 - Prob. 1WE Ch. 5.1 - Prob. 2WE Ch. 5.1 - Prob. 3WE Ch. 5.1 - Prob. 4WE Ch. 5.1 - Prob. 5WE Ch. 5.1 - Prob. 6WE Ch. 5.1 - Prob. 7WE Ch. 5.1 - Prob. 8WE Ch. 5.1 - Prob. 9WE Ch. 5.1 - Prob. 10WE Ch. 5.1 - Prob. 11WE Ch. 5.1 - Prob. 12WE Ch. 5.1 - Prob. 13WE Ch. 5.1 - Prob. 14WE Ch. 5.1 - Prob. 15WE Ch. 5.1 - Prob. 16WE Ch. 5.1 - Prob. 17WE Ch. 5.1 - Prob. 18WE Ch. 5.1 - Prob. 19WE Ch. 5.1 - Prob. 20WE Ch. 5.1 - Prob. 21WE Ch. 5.1 - Prob. 22WE Ch. 5.1 - Prob. 23WE Ch. 5.1 - Prob. 24WE Ch. 5.1 - Prob. 25WE Ch. 5.1 - Prob. 26WE Ch. 5.1 - Prob. 27WE Ch. 5.1 - Prob. 28WE Ch. 5.1 - Prob. 29WE Ch. 5.1 - Prob. 30WE Ch. 5.1 - Prob. 31WE Ch. 5.1 - Prob. 32WE Ch. 5.1 - Prob. 33WE Ch. 5.1 - Prob. 34WE Ch. 5.1 - Prob. 35WE Ch. 5.1 - Prob. 36WE Ch. 5.1 - Prob. 1MRE Ch. 5.1 - Prob. 2MRE Ch. 5.1 - Prob. 3MRE Ch. 5.1 - Prob. 4MRE Ch. 5.1 - Prob. 5MRE Ch. 5.1 - Prob. 6MRE Ch. 5.1 - Prob. 7MRE Ch. 5.1 - Prob. 8MRE Ch. 5.1 - Prob. 9MRE Ch. 5.1 - Prob. 10MRE Ch. 5.1 - 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To find the open sentence of u ( u − 1 ) 2 + 1 3 = u ( 2 − u ) 4

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To find the open sentence of u(u−1)2+13=u(2−u)4

Answer to Problem 20WE

Explanation of Solution

Chapter 5 Solutions

Additional Math Textbook Solutions