|4x – 2/3 | = 1/5 -6x +1/2=-10x – 3/5 +1/4 31/10/2021 Bởi Lydia |4x – 2/3 | = 1/5 -6x +1/2=-10x – 3/5 +1/4
Đáp án:trongl4x-2/3l=1/5 x=13/60 và x=7/60 trong -6x+1/2=-10x-3/5+1/4 x=-17/80 Giải thích các bước giải:l4x-2/3l=1/5 có hai trường hợp: *4x-2/3=1/5 4x=1/5+2/3 4x=13/15 x=13/15:4 x=13/15.1/4 x=13/60 *4x-2/3=-1/5 4x=-1/5+2/3 4x=7/15 x=7/15:4 x=7/15.1/4 x=7/60 -6x+1/2=-10x-3/5+1/4 -6x+10x=-3/5+1/4-1/2 -6x+10x=-17/20 (-6+10)x=-17/20 4x=-17/20 x=-17/20:4 x=-17/20.1/4 x=-17/80 Bình luận
$|4x-\dfrac{2}{3}|=\dfrac{1}{5}$ TH1: $4x-\dfrac{2}{3}=\dfrac{1}{5}$ $4x=\dfrac{13}{15}$ $x=\dfrac{13}{60}$ TH2: $4x-\dfrac{2}{3}=-\dfrac{1}{5}$ $4x=\dfrac{7}{15}$ $x=\dfrac{7}{60}$ Vậy $x\in\bigg\{\dfrac{13}{60};\dfrac{7}{60}\bigg\}$ $-6x+\dfrac{1}{2}=-10x-\dfrac{3}{5}+\dfrac{1}{4}$ $-6x+10x=\dfrac{-3}{5}+\dfrac{1}{4}-\dfrac{1}{2}$ $4x=\dfrac{-17}{20}$ $x=\dfrac{-17}{20}:4$ $x=\dfrac{-17}{20}\cdot\dfrac{1}{4}$ $x=\dfrac{-17}{80}$ Vậy $x=\dfrac{-17}{80}$ Bình luận
Đáp án:trongl4x-2/3l=1/5
x=13/60 và x=7/60
trong -6x+1/2=-10x-3/5+1/4
x=-17/80
Giải thích các bước giải:l4x-2/3l=1/5
có hai trường hợp:
*4x-2/3=1/5
4x=1/5+2/3
4x=13/15
x=13/15:4
x=13/15.1/4
x=13/60
*4x-2/3=-1/5
4x=-1/5+2/3
4x=7/15
x=7/15:4
x=7/15.1/4
x=7/60
-6x+1/2=-10x-3/5+1/4
-6x+10x=-3/5+1/4-1/2
-6x+10x=-17/20
(-6+10)x=-17/20
4x=-17/20
x=-17/20:4
x=-17/20.1/4
x=-17/80
$|4x-\dfrac{2}{3}|=\dfrac{1}{5}$
TH1: $4x-\dfrac{2}{3}=\dfrac{1}{5}$
$4x=\dfrac{13}{15}$
$x=\dfrac{13}{60}$
TH2: $4x-\dfrac{2}{3}=-\dfrac{1}{5}$
$4x=\dfrac{7}{15}$
$x=\dfrac{7}{60}$
Vậy $x\in\bigg\{\dfrac{13}{60};\dfrac{7}{60}\bigg\}$
$-6x+\dfrac{1}{2}=-10x-\dfrac{3}{5}+\dfrac{1}{4}$
$-6x+10x=\dfrac{-3}{5}+\dfrac{1}{4}-\dfrac{1}{2}$
$4x=\dfrac{-17}{20}$
$x=\dfrac{-17}{20}:4$
$x=\dfrac{-17}{20}\cdot\dfrac{1}{4}$
$x=\dfrac{-17}{80}$
Vậy $x=\dfrac{-17}{80}$