Joshua Chan's answer to sara's Secondary 1 Maths Singapore question.

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Joshua Chan
Joshua Chan's answer
40 answers (A Helpful Person)
Hello, sorry this part is a bit hard to explain. Basically, we want to put the quadratic equation of x^2 + x - 6 = 0 into a form of (x + ?)(x +?). How do we do it?

We can use a little bit of guess and check. See the example I wrote using the letters a and b. It will help you to understand.

Since we have a negative number of -6. We know one of the numbers in the question mark (x + ?)(x - ?) is a negative number. This is because of both are (x -?)(x-?) then two negatives multiplying together will give you a positive number. So we know one is negative.

Then we also find out that the coefficient of x is 1. Remember the example I wrote (a+b) is 1. How can a + b be so small? This makes sense because either a or b is a negative number.

So if a = 3 or b = -2, when we multiply them together we get -6, which makes sense! If we add them together, 3-2 is 1. So everything makes sense now.

Hope it helps!!