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Rezolva ecuatia [tex] \frac{n!}{2}=(n-2)![/tex]
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Răspuns :

n²/2=(n-2)²
n²/2=n²-4n+4 |×2
n²=2n²-8n+8
n²-2n²+8n-8=0
-n²+8n-8=0
delta=b²-4ac=8²-4•(-1)•(-8)=64-32=32
n1= -b-√delta/2a= (-8-√32)/-2
n2=-b+√delta/2a=(-8+√32)/-2

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