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2*x*log(x)+x=0

2*x*log(x)+x=0 equation

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Numerical solution:

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The solution

You have entered [src] 
2*x*log(x) + x = 0
x+2xlog⁡(x)=0x + 2 x \log{\left(x \right)} = 0
Simplify
The graph
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.0-50100
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
      -1/2
x1 = e
x1=e−12x_{1} = e^{- \frac{1}{2}} 
x1 = exp(-1/2)
Sum and product of roots [src] 
sum
 -1/2
e
e−12e^{- \frac{1}{2}} 
=
 -1/2
e
e−12e^{- \frac{1}{2}} 
product
 -1/2
e
e−12e^{- \frac{1}{2}} 
=
 -1/2
e
e−12e^{- \frac{1}{2}} 
exp(-1/2)
Numerical answer [src] 
x1 = 0.606530659712633
x1 = 0.606530659712633
The graph
2*x*log(x)+x=0 equation
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