Question

Решите уравнение.
$3*9^{x+1}+2*3^{x+1} -1 =0$

Answer 1

Решение во вложении:

Answer 2

$3*9^{x+1}+2*3^{x+1}-1=0\\\\3^{x+1}=m,m>0\Rightarrow9^{x+1}=m^{2}\\\\3m^{2}+2m-1=0\\\\D=2^{2}-4*3*(-1)=4+12=16=4^{2}\\\\m_{1} =\frac{-2+4}{6}=\frac{1}{3}\\\\m_{2}=\frac{-2-4}{6}=-1<0\\\\3^{x+1}=\frac{1}{3}\\\\3^{x+1}=3^{-1}\\\\x+1=-1\\\\x=-2\\\\Otvet:-2$