Question

РЕШИТЕ УРАВНЕНИЕ!!ПОЖАЛУЙСТА

Answer 1

$\left ( \sqrt{2}-1 \right )^x+\left ( \sqrt{2}+1 \right )^x-2=0\\\frac{1}{\left ( \sqrt{2}+1 \right )^x}+\left ( \sqrt{2}+1 \right )^x-2=0\\\left ( \sqrt{2}+1 \right )^{2x}-2\left ( \sqrt{2}+1 \right )^x+1=0\\\left ( \left ( \sqrt{2}+1 \right )^x-1 \right )^2=0\Rightarrow x=0$