Question

√x - 5^4√x + 6 = 0 решите пожалуйста

Answer 1

$\sqrt{x } - {5}^{4} \sqrt{x} + 6 = 0 \\ \sqrt{x} (1 - {5}^{4} ) = - 6 \\ \sqrt{x} = \frac{6}{ {5}^{4} - 1} \\ \sqrt{x} = \frac{6}{( {5}^{2} - 1)(5 ^{2} + 1) } \\ \sqrt{x} = \frac{6}{24 \times 26} \\ \sqrt{x} = \frac{1}{4 \times 26} = \frac{1}{104} \\ x = ({\frac{1}{104}})^{2} \\ x = \frac{1}{10816}$