January 30th, 2017, 12:03 AM  #1 
Newbie Joined: Jan 2017 From: mwanza tanzania Posts: 20 Thanks: 0  3y^432y192=0
It has come to my notice that this equation 3y^432y192=0 gives a value of (pi) a mathematical constant which is approximately to 3.1425.......can this equation be used to give a value of pi to any number of decimal places needed instead of known equation pi=circumference of a circle divide to its radius? kadomole
Last edited by skipjack; February 1st, 2017 at 10:03 AM. 
January 30th, 2017, 03:11 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 16,591 Thanks: 1199 
Whereas pi is 3.14159265358979..., your equation has solution 3.14248520690..., and so the two are rather different. To get closer to pi, your equation would need to be changed, and to get very close to pi would require very substantial changes.

January 30th, 2017, 07:55 PM  #3 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,163 Thanks: 111 
Isn't pi transcendental?

January 30th, 2017, 08:17 PM  #4 
Senior Member Joined: May 2016 From: USA Posts: 517 Thanks: 230 
As has been pointed out, $y \approx 3.14248 = 3.14159 + 0.001 0.00011 \implies y  \pi \approx 0.0089.$ In fact, y is an algebraic number, and $\pi$ is a transcendental number so the two are not even in the same subset of the real numbers. 
February 1st, 2017, 08:09 AM  #5 
Newbie Joined: Feb 2017 From: HK Posts: 2 Thanks: 0 
pi is not an algebraic number, so pi cannot be a root of any polynomial with rational coefficients.

February 11th, 2017, 07:15 AM  #6  
Newbie Joined: Jan 2017 From: mwanza tanzania Posts: 20 Thanks: 0  3y^432y192=0 Quote:
 
February 11th, 2017, 07:33 AM  #7 
Newbie Joined: Jan 2017 From: mwanza tanzania Posts: 20 Thanks: 0  
February 11th, 2017, 07:39 AM  #8 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 8,442 Thanks: 572 
Calculating pi is a bit like the guy who spent years sticking together over a million matches to come up with a miniature 'London Bridge': got queer looks, some respect for his tenacity...but only 5 bucks at the corner pawnshop.... This stupidity seems to have started in England (where else!) in the early 1900's. A British mathematician William Shanks worked it out to 707 decimal places doing calculations by hand for over 20 years. POOR BILL: an error in the 528th place was discovered in 1945...wonder if they changed the inscription on his tombstone 
February 11th, 2017, 08:52 AM  #9 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,518 Thanks: 580 Math Focus: Wibbly wobbly timeywimey stuff.  
February 11th, 2017, 12:50 PM  #10 
Senior Member Joined: May 2016 From: USA Posts: 517 Thanks: 230 
Oh, for goodness' sakes. $3y^4  32y  192 = 0 \implies 3.1424 < y.$ $\pi < 3.1416 \implies \ 3.1416 < \ \pi.$ $\therefore (3.1424  3.1416) < (y  \pi) \implies 0.0008 < (y  \pi) \implies$ $\pi < y  0.0008 < y \implies \pi < y.$ $\therefore \pi \ne y.$ 

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