A Nice Algebra Problem | How to solve!

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[@is7728]

3 is the double root

[@cachotrelles4715]

Buen día. Como siempre, excelente explicación en el "lenguaje" matemático. MUY ENTENDIBLE el PASO a PASO, sin intermediar los diferentes lenguajes. SALUDOS

[@faisaltweit8445]

We have x to the power of 6 , so we must have 6 solutions!

[@khrysztoffe27]

X⁶ = (X-6)⁶ » ⁶√X⁶ = ⁶√(X-6)⁶ »
±X = ±(X-6)
therefore we have four possible roots,
(1) +X = +(X-6) » undefined
(2) +X = -(X-6) » 2X = 6 » X = 3
(3) -X = +(X-6) » -2X = -6 » X = 3
(4) -X = -(X-6) » undefined
hence, X = 3