tim x
( x- 1) ^3 = -1/8
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1\5*8+1\8*11+....+1\x*(x+3)=101/1540
1/5-1/8+1/8-1/11+....+1/x-1/(x+3)=101/1540
1/5-1/(x+3)=101/1540
1/(x+3)=1/5-101/1540
1/(x+3)=207/1540
x+3=1540/207
x=1540/207-3
x=919/207
\(\frac{x+1}{-8}=\frac{-3}{x-1}\\ \Rightarrow\left(x+1\right)\left(x-1\right)=\left(-8\right)\left(-3\right)\\ \Rightarrow x\left(x-1\right)+\left(x-1\right)=24\\ \Rightarrow x^2-x+x-1=24\\ \Rightarrow x^2-1=24\\ \Rightarrow x^2=25\\ \Rightarrow\left[{}\begin{matrix}x=5\\x=-5\end{matrix}\right.\)
Vậy \(x\in\left\{5;-5\right\}\)
\(a,x+\frac{3}{8}=\frac{4}{3}\)
\(x=\frac{4}{3}-\frac{3}{8}\)
\(x=\frac{23}{24}\)
\(b,x-\frac{1}{9}=\frac{7}{6}\)
\(x=\frac{7}{6}+\frac{1}{9}\)
\(x=\frac{23}{18}\)
\(c,x\times\frac{1}{9}=\frac{21}{8}\)
\(x=\frac{21}{8}:\frac{1}{9}\)
\(x=\frac{189}{8}\)
\(d,x:\frac{8}{3}=5\)
\(x=5\times\frac{8}{3}\)
\(x=\frac{40}{3}\)
\(a,\dfrac{3}{8}=\dfrac{6}{x}\\ \Rightarrow x=6:\dfrac{3}{8}\\ \Rightarrow x=16\\ b,\dfrac{1}{9}=\dfrac{x}{27}\\ \Rightarrow x=\dfrac{1}{9}.27\\ \Rightarrow x=3\\ c,\dfrac{4}{x}=\dfrac{8}{6}\\ \Rightarrow x=4:\dfrac{4}{3}\\ \Rightarrow x=3\\ d,\dfrac{3}{x-5}=\dfrac{-4}{x+2}\\ \Rightarrow3\left(x+2\right)=-4\left(x-5\right)\\ \Rightarrow3x+6=-4x+20\\ \Rightarrow3x+6+4x-20=0\\ \Rightarrow7x-14=0\\ \Rightarrow7x=14\\ \Rightarrow x=2\)
a: =>6/x=3/8
hay x=16
b: =>x/27=1/9
nên x=3
c: =>4/x=4/3
nên x=3
d: =>3/x-5=-4/x+2
=>3x+2=-4x+20
=>7x=18
hay x=18/7
12x/6 + 4x/6 - 3x/6 = 3/8 - 1/4 - 1/6
13x/6 = (9 - 6 - 4)/24 = -1/24
--> x = -1/52
\(\left(x+3\right)^2-\left(x-4\right)\left(x+8\right)=1\)
\(\Leftrightarrow x^2+6x+9-x^2+8x-4x-32=1\)
\(\Leftrightarrow x^2+6x+9-\left(x^2+4x-32\right)=1\)
\(\Leftrightarrow x^2+6x+9-x^2-4x+32=1\)
\(\Leftrightarrow2x+41=1\)
\(\Leftrightarrow2x=-40\Leftrightarrow x=-20\)
( x - 1 )^3 = -1/8 = ( -1/2 )^3
=> x - 1 = -1/2
=> x = -1/2 + 2/2
=> x = 1/2
Vậy,..........
\(\left(x-1\right)^3=-\frac{1}{8}\Leftrightarrow x-1=-\frac{1}{2}\Leftrightarrow x=\frac{1}{2}\)