Question

Resolva a equação (4/9) elevado a x mais (2/3) elevado a x -2=0

Answer 1

(4/9)^x+(2/3)^x-2=0

(2/3)^(2x)+(2/3)^x-2=0

y=(2/3)^x

y²+y-2=0

y'=[-1 +√(1+8)]/2=(-1+3)/2=1

y''=[-1 -√(1+8)]/2=(-1-3)/2=-2

Se y=1=(2/3)^x ==>x=0

Se y=-2=(2/3)^x  ..não existe x possível

Resposta x=0