Germany Olympiad ।। A nice mathematics exponential equation solutions।। Can you solve this।।
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- เผยแพร่เมื่อ 20 ก.ย. 2024
- Germany Olympiad ।। A nice mathematics exponential equation solutions।। Can you solve this।।
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Writing z = ( 4 + √ (15)) ^ x one gets
1/z = ( 4 - √ (15)) ^ x
z + 1/z = 62
(z - 31) ^2 = 961 - 1 =960 = 8 ^2 * (15)
z = 31 + 8 √ (15) = ( 4 + √ (15)) ^2
Hereby x = 2, - 2