Concept explainers
To solve the given equation using graphing.
Answer to Problem 26PPS
The values of x are -4.2 and 2.2.
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 -3 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 result closest to 0 will be the roots of the equation.
Table of values in between -3 and -2
x | -2.9 | -2.8 | -2.7 | -2.6 | -2.5 | -2.4 | -2.3 | -2.2 | -2.1 |
y | 0.01 | -0.96 | -1.91 | -2.84 | -3.75 | -4.64 | -5.51 | -6.36 | -7.19 |
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 | -7.19 | -6.36 | -5.51 | -4.64 | -3.75 | -2.84 | -1.91 | -0.96 | 0.01 |
In the tables, the value of y that is closest to 0 is 0.01. Their corresponding x values would be the roots.
Thus, -2.9 and 6.9 are the roots.
Chapter 9 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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