Precalculus with Limits
Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Question
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Chapter A.5, Problem 41E
To determine

Solve the given equation by extracting square roots..

Expert Solution & Answer
Check Mark

Answer to Problem 41E

The solution for the above quadratic equation is x=1+322,1−322

Explanation of Solution

Given:

The quadratic equation,

  (2x–1)2=18

Let consider the following quadratic equation,

  (2x–1)2=18

On solving the quadratic equation by extracting square roots,

  (2x–1)2=18

  Precalculus with Limits, Chapter A.5, Problem 41E

Taking positive sign

  x=1+322

And taking negative sign

  x=1−322

Therefore, the solution for the above quadratic equation is x=1+322,1−322

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Chapter A.5, Problem 40E
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Chapter A.5, Problem 42E

Chapter A Solutions

Precalculus with Limits

Ch. A.1 - Prob. 1ECh. A.1 - Prob. 2ECh. A.1 - Prob. 3ECh. A.1 - Prob. 4ECh. A.1 - Prob. 5ECh. A.1 - Prob. 6ECh. A.1 - Prob. 7ECh. A.1 - Prob. 8ECh. A.1 - Prob. 9ECh. A.1 - Prob. 10E
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