The system of a quadratic equation and a linear equation may have how many intersection points?

Step-by-step explanation:

It is important to remember that when we graph a linear equation, we get a line and when we graph a quadratic equation, we get a parabola.

Then,  given a system of a quadratic equation and a linear equation, there are three possibles cases for the solution:

- If the line and the parabola never intersect, then there is no real solution.

- If the line just touches the parabola, then there is one real solution.

- If the line and the parabola intersect at two points, then there Two real solutions.

Then the system of a quadratic equation and a linear equation may have: no intersections points, one intersection point or two intersection points.

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step-by-step explanation: