perplexus.info :: Just Math : Triple seven power

Triple seven power (Posted on 2023-04-21)

7a + 1/(7a)= sqrt(98)

How much is (a^777) + 1/(a^777)?

No Solution Yet Submitted by Ady TZIDON

Rating: 3.0000 (3 votes)

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re(3): Errorless text Yes indeed -- computer solution | Comment 13 of 14 |

(In reply to re(2): Errorless text Yes indeed by Ady TZIDON)
Wolfram Alpha gives (1 +/- i)/Sqrt[2] as the two values for a that satisfy the equation.

Then (a^777) + 1/(a^777), a=(1 - i)/Sqrt[2] gives sqrt(2) as the answer; the same if a=(1 + i)/Sqrt[2] is given.

Posted by Charlie on 2023-04-22 08:39:01

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