Question

Ребят срочно надо, помогите
3^2x+1-4•3^x+1+9=0

Answer 1

$3 ^{2x+1} -4*3 ^{x+1} +9=0, \ 3*3 ^{2x} -4*3*3 ^{x} +9=0, \ 3*3 ^{2x}-12*3 ^{x} +9=0, \ 3 ^{x}=t, t textgreater 0 \ 3t ^{2} -12t+9=0, \ D=(-12) ^{2} -4*3*9=144-108=36, \ t_{1} = frac{12- sqrt{36} }{2*3}= frac{6}{6} =1, t_{2} = frac{12+ sqrt{36} }{2*3} = frac{18}{6} =3, \ 3 ^{x} =1, x_{1}=0, \ 3^{x}=3, x_{2}=1.$