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Tìm x, biết: a, 7/9:(2+3/4x)+5/5=23/27 b,-2/3x+1/5=3/10 c,|x|-7/4=5/3 d, |2x-1/3|+5/6=1
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Đáp án:
a.-29/3 b. -3/20 c. x=41/12 hoặc x= 1/12 d. x=1/4 hoặc x=1/12
Giải thích các bước giải:
a. 7/9:(2+3/4x)+5/5=23/27 b.-2/3x+1/5=3/10
7/9:(2+3/4x) = 23/27-5/5 -2/3x =3/10-1/5
7/9:(2+3/4x) = -4/27 -2/3x = 1/10
(2+3/4x) = 7/9:-4/27 x = 1/10:-2/3
(2+3/4x) = -21/4 x = -3/20
3/4x = -21/4-2
3/4x = -29/4
x = -29/4:3/4
x = -29/3
c.|x|-7/4=5/3
TH1: x-7/4=5/3 TH2: x-7/4=-5/3
x =5/3+7/4 x =-5/3+7/4
x = 41/12 x =1/12
Vậy x=41/12 hoặc x=1/12
d.|2x-1/3|+5/6=1
|2x-1/3| =1-5/6
|2x-1/3| =1/6
TH1: 2x-1/3 =1/6 TH2: 2x-1/3=-1/6
2x =1/6+1/3 2x =-1/6+1/3
2x =1/2 2x =1/6
x =1/2 : 2 x =1/6 : 2
x =1/4 x = 1/12
Vậy x=1/4 hoặc x= 1/12