L5 Solving Systems of Equations - Part 2
Completion requirements
Unit 1A
Precalculus
Lesson 5: Solving Systems of Equations
A system of equations need not contain only linear equations. In fact, there are many other types of systems of equations that can be solved by applying one of the techniques discussed earlier in this Lesson. Example 2 shows how a linear-quadratic
system of equations can be solved graphically and algebraically.
A linear quadratic system of equations can have zero, one, or two solutions, depending on the number of times the graphs of the corresponding functions intersect.
The linear quadratic system represented in the graph below has no solution because the graphs of the corresponding functions do not intersect.
The linear-quadratic system represented in the graph below has one solution because the graphs of the corresponding functions intersect exactly once.
The linear-quadratic system represented in the graph below has two solutions because the graphs of the corresponding functions intersect exactly twice.
A linear quadratic system of equations can have zero, one, or two solutions, depending on the number of times the graphs of the corresponding functions intersect.
The linear quadratic system represented in the graph below has no solution because the graphs of the corresponding functions do not intersect.
The linear-quadratic system represented in the graph below has one solution because the graphs of the corresponding functions intersect exactly once.
The linear-quadratic system represented in the graph below has two solutions because the graphs of the corresponding functions intersect exactly twice.