Concept explainers
a)
To find: The real solutions of 10x3+7.5x2−54.85x+37.95=0 .
The three real solutions of 10x3+7.5x2−54.85x+37.95=0 are −3 , 1.1 and 1.15 .
Given Information:
The equation 10x3+7.5x2−54.85x+37.95=0 .
Concept Used:
The real solutions of an equation are the values of x where the graph cuts the x- axis.
Calculation:
The graph of 10x3+7.5x2−54.85x+37.95=0 is shown in figure 1.
Figure 1
The graph in figure 2 shows the section of the graph of 10x3+7.5x2−54.85x+37.95=0 in between 1.08≤x≤1.16 .
Figure 2
Therefore, it follows that the three real solutions of 10x3+7.5x2−54.85x+37.95=0 are −3 , 1.1 and 1.15 .
b)
To find: The real solutions of x3+x2−4.99x+3.03=0 .
The real solution of x3+x2−4.99x+3.03=0 is −3 .
Given Information:
The equation x3+x2−4.99x+3.03=0 .
Concept Used:
The real solutions of an equation are the values of x where the graph cuts the x- axis.
Calculation:
The graph of x3+x2−4.99x+3.03=0 is shown in figure 3.
Figure 3
The graph in figure 4 shows the section of the graph of x3+x2−4.99x+3.03=0 in between 0.9≤x≤1.1 .
Figure 4
Therefore, it follows that the real solution of x3+x2−4.99x+3.03=0 is −3 .
Chapter 1 Solutions
PRECALCULUS:GRAPHICAL,...-W/ACCESS
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