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60stars Astrology Season Essay
English version
By TOKYO-TANUKI
Φ⁸ 60stars Astrology Season Essay
Φ⁸ ” exist or not ? ”
1. Now, some think “X+1=X” is impossible.
But square both sides:
(X+1)² = X²
Then:
2X+1=0 → X=−1/2
But adding 1 to −1/2 gives 1/2, not equal to X.
But square both sides:
(X+1)² = X²
Then:
2X+1=0 → X=−1/2
But adding 1 to −1/2 gives 1/2, not equal to X.
So it does not satisfy.
Squaring gives a real solution, but X is unclear.
Next, cube it:
(X+1)³=X³
Then:
3X²+3X+1=0
X= −1/2 ± (√3/6)i
(X+1)³=X³
Then:
3X²+3X+1=0
X= −1/2 ± (√3/6)i
These are complex numbers, but still do not satisfy X+1=X.
Next, fourth power:
(X+1)⁴=X⁴
Then:
4X³+6X²+4X+1=0
X=−1/2, and −1/2±−1/2i
(X+1)⁴=X⁴
Then:
4X³+6X²+4X+1=0
X=−1/2, and −1/2±−1/2i
These are real and complex solutions, but again do not satisfy X+1=X.
2.Thus, the X satisfying X+1=X,
though squaring, cubing, or fourth power seems to give real or complex,
in fact is neither real nor imaginary.
though squaring, cubing, or fourth power seems to give real or complex,
in fact is neither real nor imaginary.
Mathematically, "no solution".
That is, it seems to exist, but maybe not—its nature is unknown.
(to be continued)
Tanu-chan💓 TOKYO-TANUKI💛

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