bewellplus.gsu.edu
KimikoKeaser KimikoKeaser
  • 15-05-2014
  • Mathematics
Answered

Find all solution of the equation.

y=-x

y=xlnx

Verified Answer :

Anonymous Anonymous
  • 18-05-2014

\(\left\{\begin{array}{ccc}y=-x\\y=xlnx\end{array}\right;\ \ \ D:x\in\mathbb{R^+}\\\\xlnx=-x\\\\xlnx+x=0\\\\x(lnx+1)=0\iff x=0 otin D\ or\ lnx+1=0\\\\lnx=-1\iff x=e^{-1}\to x=\frac{1}{e}\in D\\\\Answer:x=\frac{1}{e}\ and\ y=-\frac{1}{e}\)

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