Question

9^(x²-1)-12 3^(x²-2)+3=0
rezolvati in R

Answer 1

9^x²/9-12. 3^x²/3²+3=0
daca notam pe 3^x²=y ec devine
y²/9-4y/3+3=0
y²-12y+27=0
Δ=b²-4ac=144-108=36
y1=(12-6)/2=3
y2=(12+6)/2=9
revenim la notatie
3^x²=3⇒x²=1⇒x1,2=+,-1

a doua
3^x²=3²
x²=2
x3,4=+,-√2