**Problem**

**Introduction**

Assuming no typing errors, this is a tricky Secondary 2 question
involving an equation with algebraic fractions.
How to solve it? How to present
the solution?

**Solution**

**Remarks**

[1]
Once the LHS expression has no meaning, it
would not even make sense to continue.

[2]
This is a proof by contradiction type of argument.

It turns out that not all algebraic equations are

*soluble*(or*solvable*). This problem is one case in point. The “unknown”*m*cannot be^{5}/_{2}because that would make the expression undefined. But if you substitute any other value, you always end up with nonsense like “15 = 0”. So no matter what, there is*no solution*. In other words, there is no value of*m*that you can substitute into the equation that makes it a true statement.
H05. Work
backwards

H08. Make
suppositions

**Suitable Levels**

*****Lower Secondary Mathematics (Sec 2 ~ grade 8)

*****GCE ‘O’ Level “Elementary” Mathematics

* other syllabuses that involve algebra

* any learner who is interested in algebra
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