Question

resolva as equações x⁴-16x²=0​

Answer 1

x⁴—16x²=0

(x²)²—16x²=0

Seja: x²=y

y²—16y=0

y(y—16)=0

y'=0 V y''=16

x' e x''= ±√y' V x''' e x''''=±√y''

x' e x''=±√0 V x'' e x'''' =±√16

x' e x''=0 V x'' e x'''' = ±4

Sol: { 0 , 0 , —4 , 4 }

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