If has two distinct real solutions

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

Problem

If x−5=mx+2\sqrt{x-5} = mx + 2 has two distinct real solutions, then range of mm is equal to (a) (−12,110)(-\frac{1}{2}, \frac{1}{10}) (b) (0,110)(0, \frac{1}{10}) (c) (−110,12)(-\frac{1}{10}, \frac{1}{2}) (d) (0,12)(0, \frac{1}{2})

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