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 Quadratic Equations Solving quadratic equations by factorising Quadratic application problems. Completing the square to solve a quadratic Activity Solving factorised Quadratics | Unfactorised | Harder (www.transum.org) Ex6.01, Ex6.02, Ex6.03, Ex6.04, Theta pg 23 NuLake EAS Q357 - 392 Khan Academy Solving Quadratics by factorising old code

### A factorised quadratic is solved by making each bracket = 0

 1) (x + 2)(x − 5) = 0 Solution 2) (x + 6)2 = 0 Solution 3) x(x − 7 )= 0 Solution 4) (2x + 5)(5 − 3x)= 0 Solution Mouse over key words

### An expanded quadratic must be factorised first before solving.

 1) x2 + 4x + 3 = 0    Factorise    Solution 2) x2 − x − 6 = 0  Factorise  Solution Mouse over key words

### An expanded quadratic must be factorised first before solving.

 3) x2 − 9x = 0  Factorise  Solution 4) 2x2 + 7x + 3 = 0  Factorise  Solution Mouse over key words

# Rearranging

### A quadratic equation may need to be rearranged to be '=0' before factorising and solving.

 1) x2 + 3x = 18 Rearrange  Factorise  Solution 2) (x + 1)(x − 7) = 3x − 7 Expand   Rearrange    Factorise & Solution Mouse over key words

# Applications

### Two posters have the same area. One is square, the other rectangular. Find the possible area(s) of one poster. (Lengths in m)

 1) Form Equations2) Expand & Simplify 3) Rearrange 4) Factorise 5) Solve 6) Answer Q Mouse over key words