The function

MATHEMATICS · Subjective · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

The function p(x)=x−1x2−kx+kp(x)=\dfrac{x-1}{x^{2}-kx+k}, where k∈Rk\in\mathbb{R}, is to be defined for all real xx except x=1x=1. Determine all real values of kk for which this is possible.

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