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Sea las raices x1 y x2, entonces x1.x2 = 1
Por el Teorema de Cardano sabemos que el producto de raices es igual al coeficiente del termino lineal (c/a)
Entonces...
x1.x2 = 1
(3m-11)/(2m-1) = 1
Resolviendo...
3m-11 = 2m-1
m = 10
Finalmente: m = 10
Buen dia.