Concept explainers
To solve the given equation using graphing.
Answer to Problem 8CYU
The values of x are 1.4 and 6.6.
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 1 and 2. The other x-intercept is between 6 and 7.
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 is closest to 0 will be the roots of the equation.
Table of values in between 1 and 2
x | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 | 1.8 | 1.9 |
y | 1.41 | 0.84 | 0.29 | -0.24 | -0.75 | -1.24 | -1.71 | -2.16 | -2.59 |
Table of values in between 6 and 7
x | 6.1 | 6.2 | 6.3 | 6.4 | 6.5 | 6.6 | 6.7 | 6.8 | 6.9 |
y | -2.59 | -2.16 | -1.71 | -1.24 | -0.75 | -0.24 | 0.29 | 0.84 | 1.41 |
In the tables, the value of y that is closest to 0 is -0.24. Their corresponding x values would be the roots.
Thus, 1.4 and 6.6 are the roots.
Chapter 9 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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