The complete set of non-zero values of such that the equation is satisfied by at…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

The complete set of non-zero values of kk such that the equation ∣x2−10x+9∣=kx|x^2-10x+9|=kx is satisfied by at least one and at most three values of xx is: (a) [4,∞)∪(−∞,−16][4,\infty)\cup(-\infty,-16] (b) [16,∞)∪(−∞,−16][16,\infty)\cup(-\infty,-16] (c) [4,∞)∪(−∞,−4][4,\infty)\cup(-\infty,-4] (d) [16,∞)∪(−∞,−4][16,\infty)\cup(-\infty,-4]

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