2 ^(2x + 1) - 9.2 ^(x) + 4 = 0 pleas I need this answer. I want to submit it now.​

Question

`2 ^(2x + 1) - 9.2 ^(x) + 4 = 0`
pleas I need this answer. I want to submit it now.​

Answer 1

`\displaystyle\bf 2^(2x+1)-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^(2x)=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=(9+7)/(4) =4 \\\\ t_2=(9-7)/(4) =(1)/(2) \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^(-1)\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}`