SOLUTION: Caso de trinomio de la forma x2 + bx + c. Factorizar: d. x^6-4x^3-480

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Question 782038: Caso de trinomio de la forma x2 + bx + c. Factorizar:

d. x^6-4x^3-480
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E6+-+4x%5E3+-+480+=+0+
+z%5E2+=+x%5E6+
+z+=+x%5E3+
-----------------
+z%5E2+-+4z+-+480+=+0+
+z%5E2+-+4z+%2B+%284%2F2%29%5E2+=+480+%2B+%284%2F2%29%5E2+
+z%5E2+-+4z+%2B+4+=+484+
+%28+z+-+2+%29%5E2+=+22%5E2+
+z+-+2+=+22+
+z+=+24+
also
+z+-+2+=+-22+
+z+=+-20+
---------------
+z+=+x%5E3+
+x%5E3+=+24+
+x%5E3+=+-20+
-----------------
+x+=+24%5E%281%2F3%29+
+x+=+%28-20%29%5E%281%2F3%29+
-----------------------
+x+=+2%2Aroot%283%2C3%29+
+x+=+-2%2A3%5E%28-1%2F6%29+%2B+3%5E%285%2F6%29%2Ai+
+x+=+-2%2A3%5E%28-1%2F6%29+-+3%5E%285%2F6%29%2Ai+
-----------------------------------
+x+=+root%283%2C-20%29+
+x+=+-root%283%2C-20%29%2F+sqrt%283%29+%2B+2%2Aroot%283%2C-20%29%2F+sqrt%283%29+
+x+=+-root%283%2C-20%29%2F+sqrt%283%29+-+2%2Aroot%283%2C-20%29%2F+sqrt%283%29+