Completing the square questions are becoming more popular with GCSE maths, as the technique can be useful if you’re intending to study at a higher level. The main use is factorising and finding out the maximum and minimum values of a quadratic equation. Once you’re familiar with the method, completing the square becomes quite straightforward.
This video is a reminder of every type of GCSE maths question for completing the square, and is aimed at around grade 8/9.
0:30 General questions
8:55 Working with fractions
17:48 Coefficient of x squared
26:14 Solving in surd form
Here’s the questions: QT Completing the Square
Here’s the answers: QT Completing the Square ANSWERS
● It’s just another way of factorising (if the equation is shown as equal to zero), although most questions will solve to ‘irrational roots’ meaning something including a plus or minus square root
● It’ll only work with a single value of x squared. Some questions will need you to divide through first.
● Always make sure you balance the equation if you’re factorising
● Some questions might involve fractions and you’ll need to check your calculations – decimals are not really used in these types of calculations
If you’d like to ask for any more detail, or you’re not sure about anything, please do ask a question in the comments section.
All best with your studies
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