Question

СРОЧНО! РЕШИТЕ, ПОЖАЛУЙСТА, 4 ПРИМЕР!!!

Answer 1

$8^{ \frac{2}{x} } -3* 2^{ \frac{2x+3}{x} }+32=0\\\\( 2^{3} ) ^{ \frac{2}{x} } -3* 2^{2}* 2^{ \frac{3}{x} } +32=0\\\\( 2^{ \frac{3}{x} }) ^{2} -12* 2^{ \frac{3}{x} }+32=0$
Сделаем замену :
$2^{ \frac{3}{x} } =m\ \textgreater \ 0,x \neq 0\\\\m ^{2}-12m+32=0\\\\D=(-12) ^{2}-4*1*32=144-128=16= 4^{2} \\\\ m_{1} = \frac{12+4}{2}=8\\\\ m_{2}= \frac{12-4}{2}=4 \\\\\\ 2^{ \frac{3}{x} }=8\\\\ 2^{ \frac{3}{x} } = 2^{3}\\\\ \frac{3}{x}=3\\\\ x_{1} =1\\\\\\ 2^{ \frac{3}{x} }=4\\\\ 2^{ \frac{3}{x} } = 2^{2} \\\\ \frac{3}{x}=2\\\\ x_{2}=1,5$