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Arithmetic Problem Solving
Distance, Mid-point and Circles
Expansion and Factorisation
Monomials and Polynomials
Similar Figures & Solids
Simultaneous Linear Equations
Statistical Poster Design
Graphing Calculator Design
Level of Difficulty: ¤¤
Factorisation by Inspection
Solving of linear equations
Equations are equations where the highest power of the variable is 2
x² + 2x + 1 = 0 is a quadratic equation
x² + 1 = 0 is also a quadratic equation
x² + 2x = 0 is also a quadratic equation
In general, a quadratic equation takes the form of
ax² + bx + c = 0
, where a, b and c are constants. b and c can take the values of zero but a cannot be zero (else it becomes a linear equation - highest power 1)
= 0, then either
= 0 or
The null law is important as it forms the basis for solving a quadratic equation by using the method of factorisation.
Solving Quadratic Equations by Factorisation:
Here are 2 videos that show the application of Factorisation to solving Quadratic Equations:
View the powerpoint slides on solving quadratic equations by Factorisation:
Solving Quadratic Equations by factorisation.ppt
, to solve a quadratic equation by factorisation,
1. Make one side of the equation equal to zero,
2. Factorise the non-zero side,
3. Apply Null Law,
4. Get value for the unknown.
Application of Quadratic Equations:
You will cover one aspect of the application of quadratic equations - in solving word problems.
View the slides for examples:
Application of Quadratic Equations.ppt
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