Numero 328
Numero 328
469
punti
Livello 2
x^5 + 1/2·x·(3·x^3 - 1) - 1/2·x·(x^3 + 1) > x^4
2·x^5 + x·(3·x^3 - 1) - x·(x^3 + 1) > 2·x^4
2·x^5 + (3·x^4 - x) - (x^4 + x) > 2·x^4
2·x^5 + (3·x^4 - x) - (x^4 + x) - 2·x^4 > 0
2·x^5 - 2·x > 0
2·x·(x + 1)·(x - 1)·(x^2 + 1) > 0
----------------(0)+++++++++++++++++>x
-------(-1)+++++++++++++++++++++>x
------------------------(1)+++++++++++++>x
++++++++++++++++++++++++++++>x
Segno prodotto:
------(1)+++(0)----(1)++++++++++++++>
soluzione:
-1 < x < 0 ∨ x > 1
90715
punti
Genius II