Author Topic: Quick maths question  (Read 1503 times)

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Offline Killer Whale

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I don't know how to do this, does someone else?(if in fact it's possible, which I don't believe it's not)

What is m in terms of d (m=?d?) when
d=(m^3+147m^2+1052m)/300+1

 

Offline Spicious

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It's possible to solve any cubic exactly. See http://en.wikipedia.org/wiki/Cubic_function#General_formula_of_roots. The solutions all seem to be horrible messes in this case though.

 

Offline watsisname

Is this problem stated correctly?  I'd think there would be a variable in the denominator, too. <_<  Nevermind, I'm just dumb. D:

Also, superscripts! :P
« Last Edit: December 31, 2009, 02:29:14 pm by watsisname »
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Offline Ghostavo

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Offline Killer Whale

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according to Yay.

for d=(m^3+147m^2+1052m)/300+1
if m = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
d = 5, 10, 16.02, 23.08, 31.2, 40.4, , 50.7, 62.12, 74.68, 88.4

for m = -(2 sqrt(3) sqrt(151875 d^2-186350625 d-1017411019)-1350 d+828225)^(1/3)/3^(2/3)-6151/(3^(1/3) (2 sqrt(3) sqrt(151875 d^2-186350625 d-1017411019)-1350 d+828225)^(1/3))-49
if d = 5, 10, 16.02, 23.08, 31.2, 40.4, 50.7, 62.12, 74.68, 88.4
m = ERROR, ERROR, ERROR, ERROR, ERROR, ERROR, ERROR, ERROR, ERROR, ERROR
if anything under ~1232.44 is used as d, you get an error because you can't sqrt negatives. (using Excel, cause my calculator can only fit in the first half)

@wiki, In mathematics, a cubic function is a function of the form f(x)=ax3+bx2+cx+d, where a is nonzero. a Does equal zero.
« Last Edit: December 31, 2009, 09:50:58 pm by Killer Whale »

 

Offline Spicious

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I think you may find a=1/300, b=147/300, c=1052/300 and d=1-d. http://en.wikipedia.org/wiki/Cubic_function#The_nature_of_the_roots may also be of interest. For any value of d there will be either 1 or 3 solutions that are real.

 

Offline Killer Whale

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@wiki, In mathematics, a cubic function is a function of the form f(x)=ax3+bx2+cx+d, where a is nonzero. a Does equal zero.
:mad: a isn't zero!! a is one!!

 

Offline Scotty

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Quote
I think you may find a=1/300, b=147/300, c=1052/300 and d=1-d

Doesn't that mean that d = 1/2?

  

Offline Spicious

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It looks that way but the left one refers to the value of the constant term of the cubic and the right one is the variable of the equation.