- In this question you must show all stages of your working.
\section*{Solutions relying on calculator technology are not acceptable.}
The equation
$$4 ( p - 2 x ) = \frac { 12 + 15 p } { x + p } \quad x \neq - p$$
where \(p\) is a constant, has two distinct real roots.
- Show that
$$3 p ^ { 2 } - 10 p - 8 > 0$$
- Hence, using algebra, find the range of possible values of \(p\)