Question

Resolva a equação x⁵+2x⁴-2x³+2x²-3x=0​

Answer 1

x⁵+2x⁴-2x³+2x²-3x=0

x*(x⁴ +2x³-2x²+2x-3)=0

# inserindo  -x²+x²

x*(x⁴ +2x³-2x²-x²+x²+2x-3)=0

x*(x⁴ +2x³-3x²+x²+2x-3)=0

x*(x²*(x² +2x-3)+(x²+2x-3) )=0

x*(x²+1)*(x² +2x-3)=0

x=0

x²+1=0  ==> x'=i  e x''=-1

x² +2x-3 =0

x'''=1  e x=-3

resposta {0,-i,i,1,3}