Mathematics

Mathematics

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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