Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
b)\(\left(x-8\right)\left(x-2\right)=0\Leftrightarrow\orbr{\begin{cases}x-8=0\\x-2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=8\\x=2\end{cases}}\)
c) \(\left(x+1\right)+\left(x+2\right)+...+\left(x+10\right)=9x+200\)
\(\Leftrightarrow\left(x+x+...+x\right)+\left(1+2+...+10\right)=9x+200\) (10 số hạng x)
\(\Leftrightarrow10x+55=9x+200\Leftrightarrow x+55=200\)
\(\Leftrightarrow x=145\)
1)5x+1 + 6.5x+1 = 875
5x+1 ( 1+6 ) = 875
5x+1 . 7 = 875
5x+1 = 875 : 7
5x+1 = 125
5x+1 = 53
x+1 = 3
x = 3 - 1
x = 2
2)3x+1 + 3x+3 = 810
3x . 3 + 32 . 3x+1 = 810
3x . 3 + 9 . 3x . 3 = 810
3x .3 ( 1 + 9 ) = 810
3x+1 . 10 = 810
3x+1 = 810 : 10
3x+1 = 81
3x+1 = 34
x+1 = 4
x = 4-1
x = 3
a) 3(x + 5) + 5(x + 7) = 58
3x + 15 + 5x + 35 = 58
8x + 50 = 58
8x = 58 - 50
8x = 8
x = 8 : 8
x = 1
b) 3(x + 7) - 2(x + 3) = 16
3x + 21 - 2x - 6 = 16
x + 15 = 16
x = 16 - 15
x = 1
1) -12.(x-5) + 7.(3-x)=5
-12x+ 60+21-7x =5
-12x-7x = 5-60-21
-19x=-76
x=-76:(-19)
x=4
2) (x-2).(x+4) =0
\(\Rightarrow\)x-2=0 hoặc x+4=0
x-2=0 x+4=0
x=0+2 x=0-4
x=2 x=-4
Vậy x=2 hoặc x=-4
3) (x-2).(x+15) =0
\(\Rightarrow\)x-2=0 hoặc x+15=0
x-2=0 x+15=0
x=0+2 x=0-15
x=2 x=-15
1)\(-12.\left(x-5\right)+7.\cdot\left(3-x\right)=5\)
\(-12x+60+21-7x=5\)
\(-19x+81=5\)
\(-19x=5-81\)
-\(-19x=-76\)
\(x=-76:-19\)
\(x=4\)
2) Ta có 2 trường hợp
TH1: x-2=0 =>x=2
TH2: x+4=0 => x=-4
Vậy \(x\in\left(-4;2\right)\)
3) Ta có
TH1: x-2=0=>x=2
TH2: x+15=0=>x=-15
Vậy \(x\in\left(-15;2\right)\)
=>\(\orbr{\begin{cases}x+\frac{1}{2}=0\\\frac{2}{3}-2x=0\end{cases}}\)
+, x+\(\frac{1}{2}\)=0 +,\(\frac{2}{3}-2x=0\)
x=\(-\frac{1}{2}\) =>\(\frac{2}{3}=2x\)
=>\(x=\frac{1}{3}\)
Vậy........
Vì `|x+2|+|x+2/5|+|x+1/2|>=0`
`=>4x>=0`
`=>x>=0`
`=>|x+2|=x+2,|x+2/5|=x+2/5,|x+1/2|=x+1/2`
`=>x+2+x+2/5+x+1/2=4x`
`=>3x+5/2+2/5=4x`
`=>4x-3x=5/2+2/5=29/10`
`=>x=29/10(tmđk)`
Vậy `x=29/10`
Giải:
Vì \(\left|x+2\right|+\left|x+\dfrac{2}{5}\right|+\left|x+\dfrac{1}{2}\right|\ge0\) nên ta có:
\(\left|x+2\right|+\left|x+\dfrac{2}{5}\right|+\left|x+\dfrac{1}{2}\right|=4x\)
\(\left(x+2\right)+\left(x+\dfrac{2}{5}\right)+\left(x+\dfrac{1}{2}\right)=4x\)
\(x+2+x+\dfrac{2}{5}+x+\dfrac{1}{2}=4x\)
\(\left(x+x+x\right)+\left(2+\dfrac{2}{5}+\dfrac{1}{2}\right)=4x\)
\(3x+\dfrac{29}{10}=4x\)
\(3x-4x=-\dfrac{29}{10}\)
\(-1x=-\dfrac{29}{10}\)
\(x=-\dfrac{29}{10}:-1\)
\(x=\dfrac{29}{10}\)