For real numbers

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For real numbers mm, define gm(x)=x2−mx+2g_m(x)=x^{2}-mx+2. Determine all real values of mm for which the equation gm(x)=0g_m(x)=0 has at least one solution in the interval [1,4][1,4].

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