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Concept explainers
(a)
To calculate: The solution of the equation
(a)
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Answer to Problem 12CR
Solution:
The solution set for the equation
Explanation of Solution
Given information:
The functions
Formula used:
Quadratic formula for the zeros of the
Calculation:
Consider the equation
Solving
By quadratic formula, the zeros of the quadratic equation
Thus the solution set for the equation
(b)
To calculate: The solution of the equation
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 12CR
Solution:
The solution set for the equation
Explanation of Solution
Given information:
The functions
Formula used:
Quadratic formula for the zeros of the quadratic equation
Calculation:
Consider the equation
Solving
Now
By quadratic formula, the zeros of the quadratic equation
Thus the solution set for the equation
(c)
The solution of the inequality
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 12CR
Solution:
The inequality
Explanation of Solution
Given information:
Polynomials
Explanation:
Consider the inequality
From part (a), the real zeros of the function
Use the real zeroes to separate the real number line into three intervals as
To select a test point from each interval and determine whether
For the inequality
For endpoints
Endpoint
Hence
Endpoint
Hence
Thus, the endpoints
Therefore, the inequality
(d)
The solution of the inequality
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 12CR
Solution:
The inequality
Explanation of Solution
Given information:
The functions
Explanation:
Solving
Write the inequality so that the polynomial expression on the left side and zero is on the right side.
Subtracting
To determine the real zeroes of the function
The real zeroes of the function is
Use the real zeroes to separate the real number line into three intervals as
To select a test point from each interval and determine whether
For the inequality
For the endpoints
Endpoint
Hence
Endpoint
Hence
Therefore, the endpoints
Thus the inequality
Chapter 7 Solutions
Precalculus
Additional Math Textbook Solutions
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