Question

решите уравнения |2x-6|=1 и ||x|-7 1/3|=4.5

Answer 1

$1); |2x-6|=1\\2x-6=1; ; ; ili; ; ; 2x-6=-1\\x=3,5; ; ; ili; ; ; x=2,5\\2); ||x|-7frac{1}{3}|=4,5\\a); |x|-frac{22}{3}=frac{9}{2},; ; |x|=frac{9}{2}+frac{22}{3}=frac{71}{6}\\x=frac{71}{6}; ; ili; ; x=-frac{71}{6}\\b); |x|-frac{22}{3}=-frac{9}{2},; |x|=-frac{9}{2}+frac{22}{3}=frac{17}{6}\\x=frac{17}{6}; ; ili; ; x=-frac{17}{6}\\Otvet:; x=pm frac{71}{6},; x=pm frac{17}{6}$