If has distinct solutions

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If ∣x2−5∣x∣+6∣=k|x^2-5|x|+6|=k has 88 distinct solutions, then kk lies in (a) (−∞,0)(-\infty,0) (b) (0,∞)(0,\infty) (c) (0,14)\left(0,\frac14\right) (d) (14,6)\left(\frac14,6\right)

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