9709 P12 - Nov 2020 - Q3 - 5 marks
310
The equation of a curve is \(y = 2x^2 + m(2x + 1)\), where \(m\) is a constant, and the equation of a line is \(y = 6x + 4\).
Show that, for all values of \(m\), the line intersects the curve at two distinct points.
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