Question

Решить уравнение :
x^2=1/(1+x^2)

Answer 1

Ответ:

${x}^{2} = \frac{1}{ 1+ {x}^{2} } \\ {x}^{2} + {x}^{4} = 1 \\ {x}^{4 } + {x}^{2} - 1 = 0 \\ y = {x}^{2} \\ {y}^{2} + y - 1 = 0 \\ y = \frac{ - 1 + - \sqrt{1 + 4} }{2} = \frac{ - 1 + - \sqrt{5} }{2}$