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help please

Heinsbergrelatz
in Mathematics

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How do you solve equations like this??

 

-0.5lnx= x^2

 

the only way i cant think of is expanding lnx as a series and get an approximate answer, but that is as good as it gets. Can anyone help me please??

thank you

Is this an appropriate equation, or did you come up with it?

[math]- 1/2 ln(x) = x^2[/math]

 

[math]ln(x) = - 2 x^2[/math]

 

You need to use Lambert W Function, as Shadow said .. regarding your equation have complex roots,

 

here is the solution from Wolfram|Alpha

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