giải tui với : d)/x+1/+/x+2/=3x+5 e)//x-1/-1/=2 23/11/2021 Bởi Liliana giải tui với : d)/x+1/+/x+2/=3x+5 e)//x-1/-1/=2
Giải thích các bước giải: d) |x+1|+|x+2|=3x+5 hoặc: |x+1|=3x+5 x+1=3x+5 x+1=8 x=7 hoặc: |x+2|=3x+5 x+2=3x+5 x+2=8 x=6 vậy x∈{7;6} e)| |x-1|-1|=2 |x-1|-1=2 |x-1|=2+1 |x-1|=3 x-1=3 x=4 vậy x=4 Bình luận
`\text{~~Holi~~}` `d. |x+1|+|x+2|=3x+5` `-> |x+1|+|x+2|-3x=5` `->`\(\left[ \begin{array}{l}x+1+x+2-2x=5, x+1\geq0, x+2\geq0 \\-(x+1)+x+2-3x=5, x+1<0, x+2\geq0\\x+1-(x+2)-3x=5, x+1\geq0, x+2<0\\-(x+1)-(x+2)-3x=5, x+1<0, x+2<0\end{array} \right.\) `->`\(\left[ \begin{array}{l}x=-2 (ktm)\\x=-\frac{4}{3} ™\\x=-2 (ktm) \\x=-\frac{8}{5} (ktm)\end{array} \right.\) `-> x=- 4/3` `e. ||x-1|-1|=2` `->`\(\left[ \begin{array}{l}|x-1|-1=2\\|x-1|-1=-2\end{array} \right.\) `->`\(\left[ \begin{array}{l}x=4\\x=-2\\x∈∅\end{array} \right.\) `->`\(\left[ \begin{array}{l}x=4\\x=-2\end{array} \right.\) Bình luận
Giải thích các bước giải:
d) |x+1|+|x+2|=3x+5
hoặc: |x+1|=3x+5
x+1=3x+5
x+1=8
x=7
hoặc: |x+2|=3x+5
x+2=3x+5
x+2=8
x=6
vậy x∈{7;6}
e)| |x-1|-1|=2
|x-1|-1=2
|x-1|=2+1
|x-1|=3
x-1=3
x=4
vậy x=4
`\text{~~Holi~~}`
`d. |x+1|+|x+2|=3x+5`
`-> |x+1|+|x+2|-3x=5`
`->`\(\left[ \begin{array}{l}x+1+x+2-2x=5, x+1\geq0, x+2\geq0 \\-(x+1)+x+2-3x=5, x+1<0, x+2\geq0\\x+1-(x+2)-3x=5, x+1\geq0, x+2<0\\-(x+1)-(x+2)-3x=5, x+1<0, x+2<0\end{array} \right.\)
`->`\(\left[ \begin{array}{l}x=-2 (ktm)\\x=-\frac{4}{3} ™\\x=-2 (ktm) \\x=-\frac{8}{5} (ktm)\end{array} \right.\)
`-> x=- 4/3`
`e. ||x-1|-1|=2`
`->`\(\left[ \begin{array}{l}|x-1|-1=2\\|x-1|-1=-2\end{array} \right.\)
`->`\(\left[ \begin{array}{l}x=4\\x=-2\\x∈∅\end{array} \right.\)
`->`\(\left[ \begin{array}{l}x=4\\x=-2\end{array} \right.\)