Question

ПОМОГИТЕ ПЛИЗ
ДАЮ 65 БАЛЛОВ
ХЕЛП УМОЛЯЮ РЕШИТЕ

Answer 1

$a)\ (4\sqrt3-\sqrt{18})\cdot\sqrt2-4\sqrt6=4\sqrt{3}\sqrt2-\sqrt{18}\sqrt2-4\sqrt6=\\\\=4\sqrt{3\cdot2}-\sqrt{18\cdot2}-4\sqrt6=4\sqrt6-\sqrt{36}-4\sqrt6=\boxed{-6}$

$b)\ |3x-5,3|=|1,7-2x|\\\\1)\ 3x-5,3=1,7-2x\\\\3x+2x=1,7+5,3\\\\5x=7\\\\x=\dfrac{7}{5}\\\\x=1,4\\\\2)\ 3x-5,3=-(1,7-2x)\\\\3x-5,3=-1,7+2x\\\\3x-2x=-1,7+5,3\\\\x=3,6\\\\\boxed{x_1=1,4\;\;,\;\;x_2=3,6}$

$c)\ \sqrt{1,8(4,1-3x)}=1,2\\\\\big(\sqrt{1,8(4,1-3x)}\big)^2=1,2^2\\\\1,8(4,1-3x)=1,44\\\\1,8\cdot4,1-1,8\cdot3x=1,44\\\\7,38-5,4x=1,44\\\\-5,4x=1,44-7,38\\\\-5,4x=-5,94\\\\5,4x=5,94\\\\x=\dfrac{5,94}{5,4}\\\\\boxed{x=1,1}$