60%x + 2/3x = -76
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2/(11x13) = 1/11 - 1/13 ; 2/(13x15) = 1/13 - 1/15 ; 2/(15x17) = 1/15 - 1/17 ; 2/(17x19) = 1/17 - 1/19 ; 2/(19x21) = 1/19 - 1/21
2/(11x13) + 2/(13x15) + 2/(15x17) + 2/(17x19) 2/(19x21) =
1/11 - 1/13 + 1/13 - 1/15 + 1/15 - 1/17 + 1/17 - 1/19 + 1/19 - 1/21 = 1/11 - 1/21 = 101231
Hay: 10/231 x 462 - X = 19
20 - X = 19
X = 20 - 19
X = 1,đó là phần b
\(60\%x+\dfrac{2}{3}x=-76\)
\(\Leftrightarrow\dfrac{3}{5}x+\dfrac{2}{3}x=-76\)
\(\Leftrightarrow\dfrac{19}{15}x=-76\)
\(\Leftrightarrow x=\dfrac{-76}{\dfrac{19}{15}}\)
\(\Leftrightarrow x=-60\)
\(60\%x+\dfrac{2}{3}x=-76\)
\(\dfrac{3}{5}x+\dfrac{2}{3}x=-76\)
\(x\left(\dfrac{3}{5}+\dfrac{2}{3}\right)=-76\)
\(x\dfrac{19}{15}=-76\)
\(x=-76:\dfrac{19}{15}\)
\(x=-60\)
\(\frac{x-96}{2}+\frac{x-88}{4}+\frac{x-76}{6}+\frac{x-60}{8}=14\)
\(\frac{x-96}{2}-2+\frac{x-88}{4}-3+\frac{x-76}{6}-4+\frac{x-60}{8}-5=0\)
\(\frac{x-96}{2}-\frac{4}{2}+\frac{x-88}{4}-\frac{12}{4}+\frac{x-76}{6}-\frac{24}{6}+\frac{x-60}{8}-\frac{40}{8}=0\)
\(\frac{x-96-4}{2}+\frac{x-88-12}{4}+\frac{x-76-24}{6}+\frac{x-60-40}{8}=0\)
\(\frac{x-100}{2}+\frac{x-100}{4}+\frac{x-100}{6}+\frac{x-100}{8}=0\)
\((x-100)\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}\right)=0\)
\(\Rightarrow x-100=0\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}>0\right)\)
\(\Rightarrow x=100\)
Bài 2:
a: =>x-1=1 hoặc x-1=-1
=>x=2 hoặc x=0
b: =>x+1=-1
hay x=-2
c: =>(135-7x):9=8
=>135-7x=72
=>7x=63
hay x=9
d: =>(x+7)(x-3)<0
=>-7<x<3
e: \(\Leftrightarrow3^{x-3}=18+9=27\)
=>x-3=3
hay x=6
f: =>4-2x=0
hay x=2
\(60\%\cdot x+\dfrac{2}{3}x=-76\)
=>\(\dfrac{3}{5}x+\dfrac{2}{3}x=-76\)
=>\(x\left(\dfrac{3}{5}+\dfrac{2}{3}\right)=-76\)
=>\(x\cdot\dfrac{19}{15}=-76\)
=>\(x=-76:\dfrac{19}{15}=-76\cdot\dfrac{15}{19}=-60\)