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|5-|2x-11||=8 va rog dau coroana

Răspuns :

Pentru |5-2x|-11=8
[tex]\big{|}5-2x\big{|}=8+11[/tex]
[tex]\big{|}5-2x\big{|}=19[/tex]
[tex]~~[/tex]
[tex]5-2x=19[/tex]
[tex]5-2x=-19[/tex]
[tex]~~[/tex]
[tex]x=-7[/tex]
[tex]x=12[/tex]
[tex]~~[/tex]
[tex]x_{1}=\fbox{-7}[/tex]
[tex]x_{2}=\fbox{12}[/tex]
[tex]~~[/tex]
[tex]~~[/tex]

Pentru |5| |2x-11| = 8
[tex]5\cdot\big{|}2x-11\big{|}=8[/tex]
[tex]\big{|}2x-11\big{|}=\dfrac{8}{5}[/tex]
[tex]~~[/tex]
[tex]2x-11=\dfrac{8}{5}[/tex]
[tex]2x-11=-\dfrac{8}{5}[/tex]
[tex]~~[/tex]
[tex]x=\dfrac{63}{10}[/tex]
[tex]x=\dfrac{47}{10}[/tex]
[tex]~~[/tex]
[tex]x_{1}={\dfrac{61}{10}}[/tex]
[tex]x_{2}={\dfrac{47}{10}}[/tex]

[tex]~~[/tex]
[tex]~~[/tex]
Pentru |5-2x-11|=8
[tex]\big{|}-6-2x\big{|}=8[/tex]
[tex]~~[/tex]
[tex]-6-2x=8[/tex]
[tex]-6-2x=-8[/tex]
[tex]~~[/tex]
[tex]x=-7[/tex]
[tex]x=1[/tex]
[tex]~~[/tex]
[tex]x_{1}=\fbox{-7}[/tex]
[tex]x_{2}=\fbox{1}[/tex]






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