This video is about how to work with an algebraic equation, which might be a useful skill – particularly if you are aiming to study maths at a higher level. In this example, the equation needs to be manipulated to find the value of x and y. It looks a little tricky at first, but is fairly straightforward once you complete the expansion.

The question is aimed at GCSE maths grade 7+ non calculator paper:

x and y are positive integers such that (3 – √x)² = y – 6√5

Work out the value of x and the value of y.

The main idea is to recognise that both sides of the equation are equal, and you need to manipulate the values to make both sides look the same. Once you have expanded (3 – √x)² it should begin to look like y – 6√5.

I hope this post on how to work with an algebraic equation helps, and please do leave a comment below if you are not sure. Alternately you can view my YouTube channel and leave a comment there – I’ll always try to respond as quickly as possible.

It could also be worth working through algebra fractions, and here’s a playlist that might be useful.

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