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The content is just an excerpt from the complete note for SS2 First Term Further Mathematics Lesson Note – Roots of Quadratic Equations II. Check below to download the complete DOCUMENT

WEEK NINE

TOPIC: ROOTS OF QUADRATIC EQUATIONS 2

SUB-TOPICS:

• Solution of problems on roots of quadratic equation.
• Maximum and minimum values.

SUB-TOPIC 1

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