Concept explainers
To solve the given equation using graphing.
Answer to Problem 4GP
The values of x are -3.4 and 0.4.
Explanation of Solution
Given information :
The function provided is
Formula used :
The given equation would be graphed as a function and the points of x-intercepts would be the results. For these points, the x-coordinate shall serve the purpose of the results.
Since the roots are not on points that are integers, use the approximation method to compute the roots.
Calculation :
The graph of the given equation is
In this, the parabola one x-intercept is between -4 and -3. The other x-intercept is between 0 and 1.
To find the roots, make a table of values for x in between these points with intervals on 0.1 . The value of x that isresult closest to 0 will be the roots of the equation.
Table of values in between -3 and -4
x | -3.9 | -3.8 | -3.7 | -3.6 | -3.5 | -3.4 | -3.3 | -3.2 | -3.1 |
y | 4.02 | 3.08 | 2.18 | 1.32 | 0.5 | -0.28 | -1.02 | -1.72 | -2.38 |
Table of values in between 0 and 1
x | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 |
y | -2.38 | -1.72 | -1.02 | -0.28 | 0.5 | 1.32 | 2.18 | 3.08 | 4.02 |
In the tables, the value of y that is closest to 0 is -0.28. Their corresponding x values would be the roots.
Thus, -3.4 and 0.4 are the roots.
Chapter 9 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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