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a)|x| - 38/7|x| - 3/4=2|x|+(8/7)
\(VP=\frac{2\left(7\left|x\right|+4\right)}{7}\)
\(\Leftrightarrow\frac{3.19}{2.7}=\frac{2\left(7\left|x\right|+4\right)}{7}\)
\(\Leftrightarrow x=\pm\frac{41}{28}\)
b)17/2 - |2x-3/4|=-7/4
\(\Leftrightarrow\left|2x-\frac{3}{4}\right|=\frac{17}{2}-\left(-\frac{7}{4}\right)\)
\(\Leftrightarrow\left|2x-\frac{3}{4}\right|=\frac{51}{4}\)
\(\Leftrightarrow2x-\frac{3}{4}=\pm\frac{51}{4}\)
- Với \(2x-\frac{3}{4}=\frac{51}{4}\)
\(\Leftrightarrow x=\frac{11}{2}\)
- Với \(2x-\frac{3}{4}=-\frac{51}{4}\)
\(\Leftrightarrow x=-\frac{19}{4}\)
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c)(x-4).(2x+6)=0
=>(x-4)=0 hoặc (2x+6)=0
với x-4 = 0
x =0+4
x =4
với 2x+6=0
2x =0-6
2x =-6
x =-6:2
x =-3
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1, Ta có :
\(x+\frac{3}{5}=\frac{4}{7}\div\frac{8}{21}\)
\(x+\frac{3}{5}=\frac{4}{7}\times\frac{21}{8}\)
\(x+\frac{3}{5}=\frac{3}{2}\)
\(x=\frac{3}{2}-\frac{3}{5}\)
\(x=\frac{15}{10}-\frac{6}{10}\)
\(x=\frac{9}{10}\)
Vậy x = \(\frac{9}{10}\)
2, Ta có :
\(\frac{2}{3}+\frac{3}{4}\div x=-\frac{1}{6}\)
\(\frac{3}{4}\div x=-\frac{1}{6}-\frac{2}{3}\)
\(\frac{3}{4}\div x=-\frac{1}{6}-\frac{4}{6}\)
\(\frac{3}{4}\div x=-\frac{5}{6}\)
\(x=\frac{3}{4}\div\left(-\frac{5}{6}\right)\)
\(x=\frac{3}{4}\times\left(-\frac{6}{5}\right)\)
\(x=-\frac{9}{10}\)
Vậy x = \(-\frac{9}{10}\)
x=14
\(2 + 4 + 6 + 8 + ... + 2x = 210\\ [\frac{2x-2}{2} + 1 ] . \frac{2x+2}{2} = 210\\ [ \frac{2x-2.1}{2} + 1 ] .\frac{2x+2.1}{2} = 210\\ [\frac{2(x-1)}{2} + 1 ] .\frac{2(x+1)}{2} = 210\\ [ ( x -1 ) + 1 ] . ( x + 1 ) = 210\\ x . ( x + 1 ) = 210\\ x . ( x + 1 ) = 14 . 15\\ \Rightarrow x = 14\\\)