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reaperqueen21
31.07.2021 •
Mathematics
Please refer to the picture
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Ответ:
The graph is shown in the attachment below
From the graph, the solution to the equation
is x = -1.2 and x = 1.7
From the picture, we are to draw the graph of the function
First we will create the table of values for the function
Table of values for the function![y = -\frac{4}{x}](/tpl/images/1402/6569/d2042.png)
xy
-31.33
-22
-14
0Undefined
1-4
2-2
3-1.33
(Shown better in the docx attachment)
The graph for the function
(purple lines) is also shown in the attachment.
To use the graph to solve the equation![\frac{4}{x}-2x+1=0](/tpl/images/1402/6569/3556e.png)
We will rewrite the equation so that it takes the form![y = -\frac{4}{x}](/tpl/images/1402/6569/d2042.png)
From![\frac{4}{x}-2x+1=0](/tpl/images/1402/6569/3556e.png)
Then,![-2x+1= -\frac{4}{x}](/tpl/images/1402/6569/d85aa.png)
∴![y = -2x+1](/tpl/images/1402/6569/8b593.png)
Hence, we will plot the graph for the function
on the same graph and the points of intersection gives the solution.
The function is a linear equation
The points of intersection on the x and y axes (x-intercept and y-intercept) are enough to plot a straight line graph as shown in the table below as well as in the graph
xy
01
0.50
(Shown better in the docx attachment)
The straight red lines in the graph shows the plot for the function![y = -2x+1](/tpl/images/1402/6569/8b593.png)
From the graph, the points of intersection are -1.2 and 1.7
Hence, the solution to the equation
is x= -1.2 and x = 1.7
Learn more here:
Ответ:
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Step-by-step explanation: