Week 6

Completing the Square

The picture shows how to complete the square. Firstly, you have to focus on the first 2 terms(ax²+bx).

With that, you make the equation to

a²+2ab+b²

You will add a 'b²', and thus you will have to subtract a 'b²'.

The second picture shows how x²=2x. Since y=x² and y=2x, y=y, x²=2x

This picture shows how to solve the question, making the equation to ax² +bx + c=0

1. Factorise

2.Combine fractions(LCM)

3.Eliminate fractions(Multiply by denominators throughout)

Reminder:

1.When using the general formula, we must make sure that the right hand side of the equation is equal to 0, or you result will not be the correct answer.

2. Do not solve 2 equations separately, instead, combine these 2 equations together.

3. Keep improper fractions as it is a waste of time to keep switching from improper to proper fractions.

e.g. Find the sum of 3/2 and 2/4

3/2=1½

1½+ ²/₄

=3/2 + 2/4

=6/4 + 2/4

=8/4

=2

4. Keep fractions when solving the questions, or as the final answer; Decimals are confusing.