Question

Решите уравнение: заранее спасибо!

Answer 1

$\sqrt{(\frac{11}{3}x-\frac{5}{6})^2} =1\\\\\left |\frac{11}{3}x-\frac{5}{6}\right |=1\; \; \to \; \; \; \frac{11}{3}x-\frac{5}{6}=1\; \; \; ili\; \; \; \frac{11}{3}x-\frac{5}{6}=-1 \\\\\frac{11}{3}x=1+\frac{5}{6}\; \; \; ili\; \; \; \frac{11}{3}x=-1+\frac{5}{6}\\\\\frac{11}{3}x=\frac{11}{6}\; \; \; ili\; \; \; \frac{11}{3}x=-\frac{1}{6}\\\\x=\frac{1}{2}\; \; \; \; ili\; \; \; \; x=-\frac{1}{22}$