
(a)
To find: The number of real roots that the quadratic function have.
(a)

Answer to Problem 11STP
The number of real roots are zero.
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
From the graph shown in Figure 1 it is clear that there are no real roots of the function as the graph of the function lies in the negative x-axis.
(b)
To find: The number of complex roots that the quadratic function have.
(b)

Answer to Problem 11STP
The number of complex roots are two.
Explanation of Solution
From the graph shown in Figure 1, the number of complex roots are two.
(c)
To find: The discriminant of the
(c)

Answer to Problem 11STP
The number of complex roots are 2 so the discriminant is less than 0.
Explanation of Solution
The discriminant of the quadratic equation is of the form,
The number of complex roots are 2 so the discriminant is less than 0.
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