x^1-11+x^2-11+x^3-11+......+x^100-11=123+234+345+........+789
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a, 512*(2-128)-128*(-512)
= 512*2 - 512*128 -128*(-512)
=512*2-512*128-(-128)*512
= 512*(2-128+128)
= 512*2
=1024
b, 2155-(174+2155)+(-68+174)
=2155-174-2155+(-68)+174
= (2155-2155)+[(-174)+174]+(-68)
=0+0+(-68)
=-68
c,-78+11*(97-99)
=-78+11*(-2)
=-78+(-22)
=-100
d, |+426|+|-345|+|+456|+|-789|
= 426+345+456+789
=(426+345)+(456+789)
=771+1245
=2016
Bài 1:
a: \(x=\dfrac{2}{3}:\dfrac{3}{5}=\dfrac{2}{3}\cdot\dfrac{5}{3}=\dfrac{10}{9}\)
b: \(x=\dfrac{17}{8}:\dfrac{7}{17}=\dfrac{17}{8}\cdot\dfrac{17}{7}=\dfrac{289}{56}\)
c: \(x=-\dfrac{3}{4}:\dfrac{7}{12}=\dfrac{-3}{4}\cdot\dfrac{12}{7}=\dfrac{-63}{28}=-\dfrac{9}{4}\)
d: \(\Leftrightarrow x\cdot\dfrac{1}{6}=\dfrac{3}{8}-\dfrac{1}{4}=\dfrac{1}{4}\)
hay \(x=\dfrac{1}{4}:\dfrac{1}{6}=\dfrac{3}{2}\)
e: \(\Leftrightarrow\dfrac{1}{2}:x=-4-\dfrac{1}{3}=-\dfrac{17}{3}\)
hay \(x=-\dfrac{1}{2}:\dfrac{17}{3}=\dfrac{-3}{34}\)
12 - ( x - 11 ) = ( -9 )
12 - x + 11 = -9
-x = -32
x = 32
\(\Leftrightarrow\dfrac{5}{4}\left(\dfrac{4}{3\cdot7}+\dfrac{4}{7\cdot11}+...+\dfrac{4}{x\left(x+4\right)}\right)=\dfrac{50}{123}\)
=>(1/3-1/7+1/7-1/11+...+1/x-1/x+4)=50/123:5/4=50/123*4/5=40/123
=>1/3-1/x+4=40/123
=>1/x+4=1/123
=>x+4=123
=>x=119
\(a,123\times54+27\times123-12\times123+123\times31\)
\(=123\times\left(54+27-12+31\right)\)
\(=123\times100\)
\(=12300\)
\(b,\dfrac{121}{27}\times\dfrac{54}{11}< n< \dfrac{100}{21}:\dfrac{25}{126}\)
\(22< n< \dfrac{100}{21}\times\dfrac{126}{25}\)
\(22< n< 24\)
Vì \(23>22\) và \(23< 24\) nên \(n=23\)