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\(\frac{8}{1.5}+\frac{8}{5.9}+\frac{8}{9.13}+...+\frac{8}{x\left(x+4\right)}=\frac{1}{2}\)
\(\Leftrightarrow\)\(2\left(\frac{4}{1.5}+\frac{4}{5.9}+\frac{4}{9.13}+...+\frac{4}{x\left(x+4\right)}\right)=\frac{1}{2}\)
\(\Leftrightarrow\)\(1-\frac{1}{5}+\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+...+\frac{1}{x}-\frac{1}{x+4}=\frac{1}{4}\)
\(\Leftrightarrow\)\(1-\frac{1}{x+4}=\frac{1}{2}\)
\(\Leftrightarrow\)\(\frac{x+4-1}{x+4}=\frac{1}{2}\)
\(\Leftrightarrow\)\(\frac{x+3}{x+4}=\frac{1}{2}\)
\(\Rightarrow\)\(2\left(x+3\right)=x+4\)
\(\Leftrightarrow\)\(2x+6=x+4\)
\(\Leftrightarrow\)\(x=-2\)
Vậy....
P/s: tham khảo mk ko chắc là đúng
1) Thay x = -8 , ta có ;
(-8) - 2 x (-8) - 3 x (-8) - 4 x (-8 ) - 5 x (-8) = 104
2) Thay x = -8 , ta có ;
(-8 + 1)-2(-8 + 1)-3( -8 + 1 )- 4( -8 + 1 ) - 5( -8 + 1 ) =91
Đúng thì tick ko đúng thì thôi
`1/8 = (1.5)/(8.5) = 5/40`
`1/5 = (1.8)/(5.8) = 8/40`
`5/40 < x/40 < 8/40`
`=> x = 6` và `7`
Vậy `1/8 < 6/40 ; 7/40 < 1/5`
1/8<x/40<1/5
5/40<x/40<8/40
=>5<x<8
=>x E (5,6,7)
Vậy x=(5,6,7)
\(x=\dfrac{5}{8}+\dfrac{1}{8}\)
\(x=\dfrac{6}{8}=\dfrac{3}{4}\)
\(\dfrac{x+1}{6}+\dfrac{x+8}{3}=\dfrac{x+1}{6}+\dfrac{2.\left(x+8\right)}{6}=\dfrac{3x+9}{6}\\ =\dfrac{3.\left(x+3\right)}{6}=\dfrac{x+3}{2}\)
3(x+6)-5³=2(x-8)-1
=>3x+18-125=2x-16-1
=>3x-2x=-16-1+125-18
=> x =90
a) 6/-x=x/-24
=> -x.x=6.-24
=>-x.x=-144
=>x=12 hay x=-12
b)9/x=-35/105
=>9/x=-1/3
=>x=9.3/-1=-27
=>x=-27
c)x-1/8=5/8
=>x=5/8+1/8
=>x=3/4
d)x-1/2-(3/2+x)=-2
=>-x+4/2=-2
=>-x/2=0
=>x=0
e)x+1/3=-12/5.10/6
x+1/3=-4
x=-4-1/3
x= -13/3
#YM
\(\left(x+1\right)\left(x+8\right)=9.2\)
\(\Rightarrow\orbr{\begin{cases}x+1=2\\x+8=9\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=1\end{cases}}\)
\(\Rightarrow x=1\)
\((x+1)(x+8)=9.2\)
\(\Rightarrow x+1=2;x+8=9\)
\(+)x+1=2\)
\(x=2-1\)
\(x=1\)
\(+)x+8=9\)
\(x=9-8\)
\(x=1\)
Vậy \(x=1\)