Пусть х = -1,1414..., тогда
100х = -114,1414...
Уравнение: 100х - х = - 114,1414 - (-1,1414)
99х = - 114 + 1
х = - 113/99
х = - 1 целая 14/99
Ответ: -1,(14) = - 1 целая 14/99
(2x -3)/(5x -20) -(x-2)/(2x-8) =(2x -3)/5(x -4) -(x-2)/2(x-4) = (2(2x-3) -5(x-2) )/10(x-4) =
(4x-6 -5x+10)/10(x-4) = (-x +4)/10(x-4) = -(x-4)/10(x-4) = -1/10 = -0,1.
Sin²x = 1- cos²x =>cosx=√(1-sin²x) = 0.954
tgx= sinx/cosx = 0.3/0.954 = 0.315