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

**WEEK EIGHT**

**TOPIC: ROOTS OF QUADRATIC EQUATION 1**

**SUB-TOPICS:**

- Quadratic equation (completing the square and formula method).
- Sum and product of roots of quadratic equation.
- Finding quadratic equation given sum and product of roots, x
^{2 }– (sum of roots) + (product) = 0. - Condition for quadratic equation to have: (i) Equal roots (b
^{2}= 4ac) (ii) Real roots b^{2 }> 4ac (iii) No roots b^{2 }< 4ac

**SUB-TOPIC 1**

**Quadratic equation (completing the square and formula method).**

A quadratic equation (trinomial) in one variable is a three termed equation in which the highest power of the variable is two. The general quadratic equation in variable x is of the form ax^{2} + bx + c = 0 where a ≠ 0.

In general, a quadratic equation has two solutions which may or may not b+e equal.

There are four major methods of solving quadratic equations. They are:

- factorization method;
- completing the square method;
- formula method;
- graphical method.

__Factorisation__

Examples

Solve the following by factorization

- x
^{2 }-2x – 8=0 - 15x
^{2 }+ 14x – 8=0

Solution

(a) Product of 1st and 3^{rd} term = -8x^{2}

**To gain full access to the note:** **DOWNLOAD FILE**