Mathematics, 12.07.2019 18:30 soccerjessie8701
Solve absolute value equation. check for extraneous solution. |2x-3|=2x-1. post it into the drop box for the unit 2 review.
Answers: 1
![\bf |2x-3|=2x-1\implies \begin{cases}+(2x-3)=2x-1\\-(2x-3)=2x-1\end{cases}\\\\[-0.35em]~\dotfill\\\\+(2x-3)=2x-1\implies 2x-3=2x-1\implies -3 \ne -1\impliedby extraneous\\\\[-0.35em]~\dotfill\\\\-(2x-3)=2x-1\implies 2x-3=-2x+1\implies 4x=4\\\\\\x=\cfrac{4}{4}\implies x=1](/tpl/images/0081/8926/d7cc0.png)
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Solve absolute value equation. check for extraneous solution. |2x-3|=2x-1. post it into the drop box...
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