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65 +(- 38 ) + ( - 65 ) +12 - ( - 42 )
=65 - 38 - 65 + 12 + 42
=16
1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\)\(+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{7}-\frac{1}{8}\)\(+\frac{1}{8}-\frac{1}{9}\)
\(=1-\frac{1}{9}\)
\(=\frac{8}{9}\)
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72
=1/1.2+1/2.3+1/3.4+1/4.5+1/5.6+1/6.7+1/7.8+1/8.9
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1-1/9
=8/9
\(-2,5\times\left(x+\dfrac{1}{5}\right)=\dfrac{7}{5}\)
\(\Leftrightarrow x+\dfrac{1}{5}=\dfrac{7}{5}:\left(-2,5\right)\)
\(\Leftrightarrow x+\dfrac{1}{5}=\dfrac{7}{5}\times\left(-\dfrac{2}{5}\right)\)
\(\Leftrightarrow x+\dfrac{1}{5}=-\dfrac{14}{25}\)
\(\Leftrightarrow x=-\dfrac{19}{25}\)
96 - 3 ( x + 1 ) = 42
=>3(x+1)=54
=>x+1=18
=>x=17
80 - { 130 - (12 -4 )}
=80-{130-8}
=80-122
=-42
84 - 3.( x + 1 ) = 42
3.(x + 1 ) = 84 - 42
3 . ( x + 1 ) = 42
x + 1 = 42 : 3
x + 1 = 14
x = 14 - 1
x = 13
Vậy x = 13
\(84-3\left(x+1\right)=42\)
\(\Leftrightarrow84-3x-3=42\)
\(\Leftrightarrow81-3x=42\)
\(\Leftrightarrow3x=81-42\)
\(\Leftrightarrow3x=39\)
\(\Leftrightarrow x=13\)
vậy x=13
2x-15=40-(3x+10)
<=> 2x-15=40-3x-10
<=> 2x-15-3x+30=0
<=> -x+15=0
<=> -x=-15
<=> x=15
\(=\dfrac{1}{5.6}+\dfrac{1}{6.7}+\dfrac{1}{7.8}+...+\dfrac{1}{24.25}\)
\(=\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+...+\dfrac{1}{24}-\dfrac{1}{25}\)
\(=\dfrac{1}{5}-\dfrac{1}{25}=\dfrac{4}{25}\)
Sửa đề thành (-4)2 ... Chứ để (-42) = -16 hongg tính được
GTTĐ luôn lớn hơn hoặc bằng 0
\(\left|2x-1\right|=\left(-4\right)^2\)
<=> \(\left|2x-1\right|=16\)
<=> \(\orbr{\begin{cases}2x-1=16\\2x-1=-16\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{17}{2}\\x=-\frac{15}{2}\end{cases}}\)
\(|2x-1|=\left(-4\right)^2\)
\(< =>|2x-1|=16\)
\(< =>\orbr{\begin{cases}2x-1=16\\2x-1=-16\end{cases}}\)
\(< =>\orbr{\begin{cases}2x=17\\2x=-15\end{cases}}\)
\(< =>\orbr{\begin{cases}x=\frac{17}{2}\\x=\frac{-15}{2}\end{cases}}\)