G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

 

Year 10 Interactive Maths - Second Edition


Quadratic Equations

If the highest power of the pronumeral in an equation is two, then it is said to be a quadratic equation.


Solving Quadratic Equations

We will consider the following methods to solve a quadratic equation:


The Null Factor Law

From this we can infer that:

If the product of any two numbers is zero, then one or both of the numbers is zero.
That is, if ab = 0, then a = 0 or b = 0 (which includes the possibility that a = b = 0).

This is called the Null Factor Law; and we use it often to solve quadratic equations.


Example 1

Solution:


Key Terms

quadratic equation, Null Factor Law, NFL

 

Study Another Topic in Chapter 12: Quadratic Equations

[ Quadratic Equations ] Equations Involving Factorisation ] Use of Substitution ] Quadratic Equations Containing Fractions ] Use of a Square Root ] Use of the Difference of Two Squares ] The Quadratic Formula ] Problem Solving ] Problem Solving Unit ] Symbols ] Index ]

 

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