Question

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

Answer 1

hello!

A quadratic equation is a parabola and a linear equation is a line. A line and a parabola may intesect 0, 1, or 2 times.

Answer 2

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