Is it really π \pi

Number Theory Level 2

If you find the positive root of 9 x 4 + 65 x 3 − 336 x 2 + 262 x − 399 = 0 9 x^4 + 65 x^3 - 336 x^2 + 262 x - 399=0 , you will be surprised as it will turn out to be π \pi . Is this a counter example to the fact that π \pi is trancendental ?

Yes, π \pi is not transcendental. No, the root is not π \pi

Ajinkya Shivashankar by Ajinkya Shivashankar , 21, India

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1 solution

The value of π \pi is 3.1415926535897 9323846264338...

The value of the root is 3.1415926535897 83521602170...

Thus the root is not π \pi but is in fact a near miss.

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The value of π \pi is 3.1415926535897 9323846264338

This is incorrect. π \pi is not a rational number.

The value of the root is 3.1415926535897 83521602170

This is incorrect as well. None of the roots are rational.

Pi Han Goh - 4 years, 3 months ago

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Yes you are right. What I wanted to emphasise was that the first 13 digits are equal and the rest are not.

Ajinkya Shivashankar - 4 years, 3 months ago

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