Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![Solving Equations involving Radicals
The equation obtained by raising both sides of an equation may have a
solution that is not a solution of the original equation.
To solve equations involving radicals:
1. Raise both sides of the equations to the appropriate power.
2. Solve the equation that arises.
3. Check for extraneous solutions.
Note: In solving equations, we check for extraneous solutions whenever
we raise both sides of an equation to a power.
Theorem
Let A and B be expressions and let n € N.
The solution set of the equation A = B is a subset of the
solution set of A" = B".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd88a915f-f569-45e9-845a-73461b8cbfaf%2Fbdebad48-1a73-4783-83b5-826f55a5e921%2Fbo7cwnm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solving Equations involving Radicals
The equation obtained by raising both sides of an equation may have a
solution that is not a solution of the original equation.
To solve equations involving radicals:
1. Raise both sides of the equations to the appropriate power.
2. Solve the equation that arises.
3. Check for extraneous solutions.
Note: In solving equations, we check for extraneous solutions whenever
we raise both sides of an equation to a power.
Theorem
Let A and B be expressions and let n € N.
The solution set of the equation A = B is a subset of the
solution set of A" = B".
![2
3
2. (1+ 2x − 1)² =
3
= 3 + 2x - 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd88a915f-f569-45e9-845a-73461b8cbfaf%2Fbdebad48-1a73-4783-83b5-826f55a5e921%2Fnxkczzcl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2
3
2. (1+ 2x − 1)² =
3
= 3 + 2x - 1
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