Germany | Can you solve this ? | A Nice Math Olympiad Algebra Problem

[@lucasolimpio4443]

Thank you for the explanation. Please Teacher, could you help me with this following exercise. Solve the equation in integers: x^2- 5y^2= 5. I'll be very grateful.

[@PlumbuM871]

Отлично 👍

[@learncommunolizer]

Thank you very much!!!👍👍👍

[@sravanthiaddanki3510]

Solutions are 3,(-3+/- sqrt31 i)/2

[@mariosergiochaparropena9846]

Essa solução é interessante, porém é muito mais simples e rápido fazer o seguinte: 2^(3x)+2^(x)=30 2^x((2^(2x)+1))=3×10 2^x=3 x=log3/log2 x=1,582 a outra equação seria: 2^(2x)+1=10 que vai chegar na mesma solução, portanto essa forma de resolver é muito mais simples.

[@Bertin-q3y]

t=3 puis on peut continuer avec la division euclidienne. On aura des coplexes.

[@brunokaufmann133]

Would it be possible to continue with the complex solutions and if so would the most simple version be x=log_2(-3+-sqrt(31)i)+1 ?

[@BartBuzz]

0.4771÷0.301 = 1.585

[@benachourmohsen4806]

Thanks

[@learncommunolizer]

Thank you too!!!

[@АндрейКожевников-о8й]

Х=1,585 при прямой подстановке в исходное выражение получается число =30,002345 и т.д.