Trying to solve a math equation, arg.

[Passions]

I need to solve this with precision:

x^x=0.606530659

When I put it into my HP 48G, it solves

x=0.367879479

But, when you put that back in to check, x=0.692200647

ARGGGGGGGG.....???

 

[Alphathree33]

The precision on a floating point variable is...

 

[spp]

hmm can't you take natural log of that and solve it?

 

[spp]

Originally posted by: spp
hmm can't you take natural log of that and solve it?

oops... yea use natural log and then use euler's method to keep approximating it?? you should be able to get to pretty precise answer

 

[Brian23]

if x^2=.606530659 and
e^(-.5)=.606530659 then
x^2=e^(-.5)
x=sqrt(x^(-.5))
and there you go!


EDIT -- oops! I read the equation wrong.

according to my TI 89, the CORRECT answer is this:

x*ln(x)=-.5
I dunno if that helps

 

[Passions]

eh, not x^2, but x^x.

 

[spp]

Originally posted by: Brian23
if x^2=.606530659 and
e^(-.5)=.606530659 then
x^2=e^(-.5)
x=sqrt(x^(-.5))
and there you go!

dude.... it's x^x not x^2......

 

[Passions]

anyone with maple or mathmatica hook it up with a precise ans?

 

[KMurphy]

ans =

.32447650802884661101302231982777+.31470495693373390251468816640960*i