Differentiation - Tangents and Normals at a Point

Differentiation - Tangents and Normals at a Point

Given that \(y=x^3+2x^2-5x+3\). The line \(6y=x+k\) is a normal to the curve. Find the value of \(k\) where \(x\) is an integer.

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Answer:\(k=55\)

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