0606 P22 - Nov 2021 - Q9 - 10 marks
8061
(a) Find the equation of the normal to the curve
\(y=x^3+x^2-4x+6\)
at the point \((1,4)\).
(b) Without using a calculator, find the exact \(x\)-coordinate of each of the two points where the normal cuts the curve again.
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