Eric Nicholas K's answer to Chelsia's Secondary 3 A Maths Singapore question.
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Hi Chelsia! These techniques are important in the solving of such questions.
1. Basic expansion of algebraic terms
2. Factorising out common terms
3. Combining into a single fraction
4. Completing the square
In (e), you will need the technique of completing the square to obtain the sum of roots.
a2 + b2
= a2 + 2ab + b2 - 2ab
= (a + b)2 - 2ab
and you are able to conveniently substitute the values of a + b and ab into the expression.
1. Basic expansion of algebraic terms
2. Factorising out common terms
3. Combining into a single fraction
4. Completing the square
In (e), you will need the technique of completing the square to obtain the sum of roots.
a2 + b2
= a2 + 2ab + b2 - 2ab
= (a + b)2 - 2ab
and you are able to conveniently substitute the values of a + b and ab into the expression.
Date Posted:
5 years ago
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