**Question**

**Important Reminders**

**Solution**

Actually we could have multiplied by -4 or any
multiple of 4 for that matter, but this is the set of integer
solutions for which

*a*is the least positive.
For part (b), if we can solve the first equation easily, then the roots
of the second equation can be obtained by just squaring your answers. However, the LHS of the first equation cannot
be factorised nicely, so we might as well use the

*quadratic formula*to solve the second equation directly.**Suitable Levels**

*****GCE ‘O’ Level Additional Mathematics

* IB Mathematics HL / SL

*
other syllabuses that involve quadratics

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