Question

много этажные дроби!

Answer 1

Ответ:

$3$

Пошаговое объяснение:

ОДЗ:

$9-2x \neq 0 \Rightarrow 2x \neq 9 \Rightarrow x \neq 4,5;$

Решение:

$\cfrac{156}{9-\cfrac{42}{9-\cfrac{6}{9-\cfrac{42}{9-\cfrac{6}{9-2x}}}}}=52;$

$9-\cfrac{42}{9-\cfrac{6}{9-\cfrac{42}{9-\cfrac{6}{9-2x}}}}=3;$

$\cfrac{42}{9-\cfrac{6}{9-\cfrac{42}{9-\cfrac{6}{9-2x}}}}=6;$

$9-\cfrac{6}{9-\cfrac{42}{9-\cfrac{6}{9-2x}}}=7;$

$\cfrac{6}{9-\cfrac{42}{9-\cfrac{6}{9-2x}}}=2;$

$9-\cfrac{42}{9-\cfrac{6}{9-2x}}=3;$

$\cfrac{42}{9-\cfrac{6}{9-2x}}=6;$

$9-\cfrac{6}{9-2x}=7;$

$\cfrac{6}{9-2x}=2;$

$9-2x=3;$

$2x=6;$

$x=3;$