Question

Boa noite.... (números complexos) @)resolva as equações em C. A)2x^2+72=0 B)-x^2+2x-2=0 C)x^2+196=0 D)x^2-8x+25=0​

Answer 1

Resposta:

A)2x^2+72=0  ==>x²=-36 ==>x=±√-36 ==>x=±6i

B)-x^2+2x-2=0

x'=[-2+√(4-8)]/(-2) =(-2+2i)/(-2) =1-i

x''=[-2-√(4-8)]/(-2) =(-2-2i)/(-2) =1+i

C)x^2+196=0

x²=-196 ==>x=±√-196   ==>x=±14i

D)x^2-8x+25=0

x'=[8+√(64-100)]/2 =(8+6i)/2=4+3i

x''=[8-√(64-100)]/2 =(8-6i)/2=4-3i