AND QUADRATIC EQUATIONS (1) I NTRODUCTION Sometimes, we may meet - - PowerPoint PPT Presentation

DAY 158 SYSTEMS OF LINEAR

AND QUADRATIC EQUATIONS (1)

INTRODUCTION

Sometimes, we may meet situations where a problem-solving process may involve two relations, quadratic and linear relations. A system that described by both relations has solutions at the point of intersection of the two. In this lesson, we are going to find out the kind of solutions using a graphical method.

VOCABULARY:

The graph of linear relation The graph of a linear relation is a straight line that extends in both directions.

 The graph of a quadratic relation

The graph of a quadratic relation is a parabola. Hence it has a vertex, symmetrical about the vertex and two ends that ends in one direction.

 This case is shown below  Case 11

The line intersects the parabola ones or touches it. In that case, the system has one solution.

In the first case, the line touches in the parabola but in the second case, the line intersects the parabola.

 Case 3  The line and the parabola do not intersect. Hence

there is no solution

• 2
• 1

1 2 3 5 2 1 2 5 10

• 2
• 1

1 2 3

• 3
• 1

1 3 5 7

HOMEWORK

ANSWERS TO THE HOMEWORK

THE END