Question

|||2x-3|+2|-5|=6 и |||2x+7|-3|+6+=6

Answer 1

||2x-3|+2|-5=6 или ||2x-3|+2|-5=-6

|2x-3|+2=11            |2x-3|+2=-1
2x-3=9или
 2x-3=-9                  | 2x-3|=-3 решений нет
Ответ:6; -3

Answer 2

прошу,помоги со 2

Answer 3

Во втором не поняла условие.Если после 6 стоит знак модуля, то решается аналогично.

Answer 4

спс

Answer 5

$1)quad |; |, |2x-3|+2|-5|=6\\|x|=a; ; Rightarrow ; ; x=pm a; ;; ; ; ; |x| geq 0\\a)quad |, |2x-3|+2|-5=pm 6; ; Rightarrow left [ {{|, |2x-3|+2|-5=6} atop {|, |2x-3|+2|-5=-6}} right. \\ left { {{|, |2x-3|+2|=11} atop {|, |2x-3|+2|=-1 textless 0}} right. ; ; Rightarrow |, |2x-3|+2|=11\\b)quad |2x-3|+2=pm 11; ; Rightarrow ; ; left [ {{|2x-3|=9} atop {|2x-3|=-13 textless 0}} right. ; ; Rightarrow ; ; |2x-3|=9\\c)quad 2x-3=pm 9; ; Rightarrow$

$left [ {{2x=12} atop {2x=-6}} right. ; ; left [ {{x=6} atop {x=-3}} right. \\Otvet:; ; x=6,; x=-3; .$

$2)quad |, |, |2x+7|-3|+6|=6\\a); ; left [ {{||2x+7|-3|+6=6} atop {||2x+7|-3|+6=-6}} right. ; left [ {{||2x+7|-3|=0} atop {||2x+7|-3|=-12 textless 0,; net; reshenij }} right. \\b); ; ||2x+7|-3|=0; ; Rightarrow ; ; |2x+7|-3=0 \\c)quad |2x+7|=3; ; Rightarrow ; ; left [ {{2x+7=3} atop {2x+7=-3}} right. ; left { {{2x=-4} atop {2x=-10}} right. ; left [ {{x=-2} atop {x=-5}} right. \\Otvet:; x=-2,; x=-5; .$