tìm x:
15/21: x = 3/7 + 2008/2009 * 2000/2008 + 9/2008 * 2008/2009
K
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PT
1
PT
0
15 tháng 7 2015
Tìm x:
\(a.\frac{2}{3}+x=\frac{5}{7}+\frac{7}{17}\div\frac{49}{34}\)
\(\frac{2}{3}+x=1\)
\(x=1-\frac{2}{3}\)
\(x=\frac{1}{3}.\)
\(b.x-\frac{4}{6}+\frac{5}{9}=\frac{28}{45}\)
\(x-\frac{4}{6}=\frac{28}{45}-\frac{5}{9}\)
\(x-\frac{4}{6}=\frac{1}{15}\)
\(x=\frac{1}{15}+\frac{4}{6}\)
\(x=\frac{11}{15}.\)
\(c.x\div\frac{6}{7}+\frac{2}{3}=\frac{7}{3}\)
\(x\div\frac{6}{7}=\frac{7}{3}-\frac{2}{3}\)
\(x\div\frac{6}{7}=\frac{5}{3}\)
\(x=\frac{5}{3}\times\frac{6}{7}\)
\(x=\frac{30}{21}.\)
\(d.\frac{15}{21}\div x=\frac{3}{7}+\frac{2008}{2009}\times\frac{2000}{2008}+\frac{9}{2008}\times\frac{2008}{2009}\)
\(\frac{5}{7}\div x=\frac{10}{7}\)
\(x=\frac{10}{7}\times\frac{5}{7}\)
\(x=\frac{50}{49}.\)
S
16 tháng 4 2017
b, \(\frac{x+1}{2009}+\frac{x+2}{2009}=\frac{x+10}{2000}+\frac{x+11}{1999}\)
\(\Rightarrow\left(\frac{x+1}{2009}+1\right)+\left(\frac{x+2}{2008}+1\right)=\left(\frac{x+10}{2000}+1\right)+\left(\frac{x+11}{1999}+1\right)\)
\(\Rightarrow\frac{x+1+2009}{2009}+\frac{x+2+2008}{2008}=\frac{x+10+2000}{2000}+\frac{x+11+1999}{1999}\)
\(\Rightarrow\frac{x+2010}{2009}+\frac{x+2010}{2008}=\frac{x+2010}{2000}+\frac{x+2010}{1999}\)
\(\Rightarrow\frac{x+2010}{2009}+\frac{x+2010}{2008}-\frac{x+2010}{2000}-\frac{x+2010}{1999}=0\)
\(\Rightarrow\left(x+2010\right)\left(\frac{1}{2009}+\frac{1}{2008}-\frac{1}{2000}-\frac{1}{1999}\right)=0\)
Mà \(\frac{1}{2009}+\frac{1}{2008}-\frac{1}{2000}-\frac{1}{1999}\ne0\)
=> x + 2010 = 0 => x = -2010
NT
1
CW
1 tháng 2 2017
\(\frac{x-2009-2010}{2008}+\frac{x-2008-2010}{2009}+\frac{x-2008-2009}{2010}=3\)
\(\Leftrightarrow\frac{x-2008-2009-2010}{2008}+\frac{x-2008-2009-2010}{2009}+\frac{x-2008-2009-2010}{2010}=0\)
\(\Leftrightarrow\left(x-2008-2009-2010\right)\left(\frac{1}{2008}-\frac{1}{2009}-\frac{1}{2010}\right)=0\)
\(\Leftrightarrow x-6027=0\Leftrightarrow x=6027\)
TT
2
KK
2
\(\frac{15}{21}:x=\frac{3}{7}+\frac{2008}{2009}.\frac{2000}{2008}+\frac{9}{2008}.\frac{2008}{2009}\)
\(\frac{15}{21}:x=\frac{3}{7}+\frac{2000}{2009}+\frac{9}{2009}=\frac{3}{7}+\frac{2009}{2009}=\frac{10}{7}\)
\(x=\frac{15}{21}:\frac{10}{7}=\frac{15}{21}.\frac{7}{10}=\frac{1}{2}\)