Completing the Square (Grade 11 NSC Matric Mathematics): Flashcards

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Completing the Square
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Practise the cards

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Purpose of completing the square

Solve quadratics that can't be easily factorised

Why 'completing the square' name

Creating perfect square trinomial by adding missing term

Use when factorisation is...

Difficult or impossible

Step 2: Coefficient of x2x^2

Make it equal to 1

Step 3: Half and square rule

Half coefficient of xx, then square it

Step 4 in method

Write trinomial as perfect square

Method 1 after completing square

Take square root of both sides, use ±\pm

Must include when taking square roots

±\pm sign for positive and negative solutions

Solution types possible

Rational or irrational

Result from both solution methods

Same solutions

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