Concept explainers
To solve the given equation using graphing.
Answer to Problem 20MCQ
The values of x are -3.5 and 3.5.
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 3 and 4.
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 -4 and -3
X | -3.9 | -3.8 | -3.7 | -3.6 | -3.5 | -3.4 | -3.3 | -3.2 | -3.1 |
Y | 3.21 | 2.44 | 1.69 | 0.96 | 0.25 | -0.44 | -1.11 | -1.76 | -2.39 |
Table of values in between 3 and 4
x | 3.1 | 3.2 | 3.3 | 3.4 | 3.5 | 3.6 | 3.7 | 3.8 | 3.9 |
y | -2.39 | -1.76 | -1.11 | -0.44 | 0.25 | 0.96 | 1.69 | 2.44 | 3.21 |
In the tables, the value of y that is closest to 0 is 0.25. Their corresponding x values would be the roots.
Thus, -3.5 and 3.5 are the roots.
Chapter 9 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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