SS2 First Term Further Mathematics Lesson Note – Roots of Quadratic Equations II

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WEEK NINE

TOPIC: ROOTS OF QUADRATIC EQUATIONS 2

SUB-TOPICS:

• Quadratic functions (Simultaneous Equations: One linear, One quadratic)
• Solution of problems on roots of quadratic equation.
• Maximum and minimum values.

SUB-TOPIC 1

Quadratic functions (Simultaneous Equations: One linear, one quadratic)

We have discussed different ways but we need to mention that graphical solution is very important aspect of solving quadratic equations. This is because with graphical solution a lot of other problems can be solved.

The graph of the quadratic equation called parabola. Some call it cup or cap. The quadratic expression is equated to y and it is called a quadratic function. The example below show the graphical solution of quadratic function.

Example 1: Solve graphically, the equation ²

Solution:

Draw the table of values for the equation ²

				0	1	2	3	4
2	27	12	3	0	3	12	27	48
	3	2	1	0	-1	-2	-3	-4
	-2	-2	-2	-2	-2	-2	-2	-2
	28	12	4	-2	0	8	22	42

Choose a convenient scale, on  and , on  let  represents  and on    represents

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