- In this question you must show detailed reasoning.
A curve has equation
$$y = 2 x ^ { 2 } + p x + 1$$
A line has equation
$$y = 5 x - 2$$
Find the set of values of \(p\) for which the line intersects the curve at two distinct points.
Give your answer in exact form using set notation.
(6)
[0pt]
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