For what values of do both roots of the equation exceed ?

MATHEMATICS · Subjective · AoPS · Mathematics · More Inequalities · More Inequalities

Problem

For what values of m∈Rm \in \mathbb{R} do both roots of the equation x2−6mx+9m2−2m+2=0x^2 - 6mx + 9m^2 - 2m + 2 = 0 exceed 33?

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