**Problem**

**Introduction**

Here is a fairly standard question on roots
of quadratic equations, except that part (iii) is slightly more challenging. To solve this question, one must know the square
of sum identity well.

**Recapitulation**

Please refer to this previous article and this article for the theory on quadratic
roots.

**Solution**

H04.
Look for pattern(s)

H05.
Work backwards

H09.
Restate the problem in another way

H11.
Solve part of the problem

H13*
Use Equation / write a Mathematical Sentence

**Suitable Levels**

*****GCE ‘A’ Levels H2 Mathematics

* other syllabuses that involve roots of quadratic
equations

* any learner who is willing
to learn
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