1. Solving by Factorising
Mathematic
(Preliminary)
Equations
Solving by Factorising
Quadratics
Stage 6 - Year 12
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2. For any real numbers a and b, if ab = 0 then a = 0 or b = 0.
Equations 2
Solving by Factorising Quadratics
For any real numbers a and b, if ab = 0 then a = 0 or b = 0.
Example 1
x2 + x - 6 = 0
(x + 3)(x - 2 ) = 0
Therefore x = -3 or x = 2

3. Solving by Factorising Quadratics
Equations
Solving by Factorising Quadratics
Example 2
8m2 - 10m + 3 = 0
P = 24m2
8m2 - 4m -6m + 3 = 0
S = -10m
F = -4m x -6m
(8m2 - 4m) + (-6m + 3) = 0
4m(2m - 1) - 3(2m - 1) = 0
(2m - 1)(4m - 3) = 0
So 2m - 1=0 or 4m - 3 = 0
So m = 0.5 or m = 3/4