To find the number of real solutions of each system -
Answer to Problem 11CT
There are two real solutions to each of the systems
Explanation of Solution
Given:
Equations:
Formula Used:
Real solution of a system is defined when the equation intersects the x-axis.
Calculation:
Given:
Equations:
Plotting
From the above graph, we can see that the equation intersects x-axis at two points.
Thus, there are two real solutions to the above system and those are
Plotting
From the above graph, we can see that the equation intersects x-axis at two points.
Thus, there are two real solutions to the above system and those are
Conclusion:
There are two real solutions to each of the systems
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Algebra and Trigonometry: Structure and Method, Book 2
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