Quadratic equations (AQA GCSE Maths): Quizzes

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Quadratic equations
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What defines a quadratic equation?

Highest power of xx is 2

In a quadratic equation, what must the right-hand side equal?

Zero

What is the first step in solving a quadratic equation by factorisation?

Factorise the left-hand side

Why do we set each factor equal to zero?

At least one bracket must equal zero

What are the solutions to x2+8x9=0x^2 + 8x - 9 = 0?

x=9x = -9 and x=1x = 1

What is x225=0x^2 - 25 = 0 an example of?

Difference of two squares

For x210x=0x^2 - 10x = 0, what is one solution always?

x=0x = 0

How do you check if your solutions are correct?

Substitute back into original equation

How should you write your final answers in the exam?

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

How does x2a2=0x^2 - a^2 = 0 factorise?

(x+a)(xa)=0(x + a)(x - a) = 0

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