BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
15th Edition
ISBN: 9781608408405
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Cengage Learning
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Chapter 3.5, Problem 1E
To determine
To determine: The description of the possible solutions of a system consisting of two
Expert Solution & Answer
Answer to Problem 1E
The possible solutions of a system consisting of two quadratic equations may be 0, 1, 2, 3 or 4.
Explanation of Solution
The graphs of two quadratic equations in different ways are shown below:
Graph 1:
In the above graph, it is seen that the two equations have not intersected each other at any point. This means the system of equations have no solution.
Graph 2:
In the above graph it is seen that two equations intersect each other at only one point. This means the system of equations has only one solution.
Graph 3:
In the above graph it is seen that the two equations have intersected each other at two points. This means the system of equations has 2 solutions.
Graph 4:
In the above graph, it is seen that the two equations have intersected each other at three points. This means the system of equations has 3 solutions.
Graph 5:
In the above graph, it is seen that the two equations have intersected each other at four points. This means the system of equations has 4 solutions.
Hence, the possible solutions of a system consisting of two quadratic equations may be 0, 1, 2, 3 or 4.
Chapter 3 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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