Question

√x - 5^4√x + 6 = 0 решите пожалуйста

Answer 1

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