Question

Find the range of m such that the equation |x²-3x+2| = mx has 4 distinct real solutions a,b,c,d

Answer 1

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Answer 2

Recall that a quadratic will have only one root when the discriminant is 0.
This means the "middle" part of the graph of |x²-3x+2| = mx will have only one intersection when the discriminant of below equation is 0.

-(x^2-3x+2) = mx