A Unique Intersection Parameter

★ 7/10functions Convexity algebra Casework

Problem

Suppose that for $x\in[0,1]$ , the graphs of $y=(mx-1)^2$ and $y=\sqrt x+m$ have exactly one common point. Find the range of the positive real number $m$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Convexity, algebra, Casework

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