3.53: Normal determining constants p and q

0606/21/O/N/23 — Question 5 · 6 marks

In this question pp and qq are constants. The normal to the curve y=px2+5x2y = px^{2} + \dfrac{5}{x} - 2 at x=1x = 1 has equation y=x+qy = -x + q. Find the values of pp and qq.
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