QUADRATIC EQUATIONS : Completing The Square part.B (SPM, IGCSE, A-level...)

(Since my time is limited, so for every chapter I will skip some and only focus on parts which most of the students found problem with it. Maybe after I retire, then only I will complete those skipped parts.)


In previous chapter,
I mentioned that will go more in depth about Completing The Square.

What did I mean by that?

It is actually...........
.............
FORMULIZATION!

Maybe some of you will feel weird,
didn't I always against memorizing formula?

Well,
I am against memorizing formula WITHOUT UNDERSTANDING IT,
but I do not against memorizing the formula AFTER UNDERSTANDING IT.

If you read my previous two chapters about CTS and understood the principle behind it,
then it will be a lot easier to memorize the steps.

If you not yet read,
the links are here:
1st part: https://leonmathstuition.blogspot.com/2019/03/quadratic-equations-before-learning.html
2nd part: https://leonmathstuition.blogspot.com/2019/03/quadratic-equations-completing-square.html


Now,
I will use the example from previous chapter first:

Answer:

1)Make sure that no other number except 1 in front of x^2.

2)Move the number to the other side of equation.

3)Turn the left hand side into PSQ.(by dividing the number in front of x by 2, then square it.)

4)Factorise the PSQ on the left hand side.
5)Find x.

That's all.

The conclusion:
1)Make sure that no other number except 1 in front of x^2.
2)Move the number to the other side of equation.
3)Turn the left hand side into PSQ.(by dividing the number in front of x by 2, then square it.)
4)Factorise the PSQ on the left hand side.
5)Find x.

5 steps only,
quick & easy.

If there is anything that you don't really understand since you not yet read the previous two chapters,
the links are here:
1st part: https://leonmathstuition.blogspot.com/2019/03/quadratic-equations-before-learning.html
2nd part: https://leonmathstuition.blogspot.com/2019/03/quadratic-equations-completing-square.html

Last example:

Answer:

Next,
let's practice with some questions.

Since the steps of CTS are always repeating,
so just 5 questions enough:

Answer:

DONE.

Until here,
we are done with CTS,
but this is not the end yet.

At next chapter,
I will talk about the relationship between CTS and Formula Method.

Of course,
even if you understand all these,
it doesn't mean that you can get full marks in your exam.

UNDERSTANDING is just UNDERSTANDING,
SOLVING QUESTION is different.

At least if you understood,
it will help you a lot in solving questions.

Maths should be learnt easily,
Practice should be done accordingly,
exam should be faced seriously.

Thank you!

End.

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Related articles:
Before learning Completing The Square
Completing The Square part.A


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