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The line $3y + x = 25$ is a normal to the curve $y = x^2 - 5x + k$. Determine the value of the constant $k$.
Mathematics 9709 · AS & A Level · Differentiation
The line $3y + x = 25$ is a normal to the curve $y = x^2 - 5x + k$. Determine the value of the constant $k$.