Quadratic equations (AQA GCSE Maths): Flashcards

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Quadratic equations
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Highest power of xx in quadratic equation

2

3 steps to solve quadratics by factorisation

Factorise, set factors to 0, solve linear equations

Step 1: Solving quadratics

Factorise the left-hand side

Step 2: Solving quadratics

Set each factor equal to zero

Step 3: Solving quadratics

Solve the linear equations

Why set each factor to zero

At least one bracket must equal zero

x2a2x^2 - a^2 factorises as

(x+a)(xa)(x + a)(x - a)

How to solve x210x=0x^2 - 10x = 0

Factor out xx: x(x10)=0x(x - 10) = 0

Checking quadratic solutions

Substitute back, should equal zero

Final answer format for quadratics

x=[number]x = \text{[number]}

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