Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
1st Edition
ISBN: 9781680331165
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Question
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Chapter 5.4, Problem 26E
To determine

To solve : the given equation.

Expert Solution & Answer
Check Mark

Answer to Problem 26E

The solution of the given equation is x=14 .

Explanation of Solution

Given information :

The given equation:

  x+2=2−x

Concept used :

Solving radical equations:

  1. Isolate the radical on one side of the equation, if necessary.
  2. Raise each side of the equation to the same exponent to eliminate the radical and obtain a linear, quadratic, or other polynomial equation.
  3. Solve the resulting equation. Check the solution.

Calculation :

As per problem,

       x+2=2−x           [Write original equation](x+2)2=(2−x )2     [Square each side]        x+2=4−4x+x    [Expand right side and simplify left side]         −2=−4x             [Isolate radical expression]             12=x                [Divide each side by −4]             14=x                   [Square each side]

To check the solution, substitute the value of x=14 in the original equation

  14+2=?2−14   [Substitute x=14]        32=?2−12   [Simplify]        32=32           

Hence, the solution of the equation is x=14 .

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Chapter 5.4, Problem 25E
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Chapter 5.4, Problem 27E

Chapter 5 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

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