Question

resolva a equação a seguir 25ˣ - 26.5ˣ + 25 = 0

Answer 1

(5²)$^{x}$-26.5$^{x}$+25=0
($5^{x}$)²-26.$5^{x}$-25=0
$5^{x}$=y
y²-26y+25=0
Δ=676-100=576
y=(26+-√576)/2
y=(26+-24)/2
y'=25→y=$5^{x}$→$5^{x}$=5²→x'=2
y"=1→y=$5^{x}$→$5^{x}$=5$^{0}$→x=0