Найдите корни уравнений: 1) х^5-х^4-x+1=0 2) ( 1/2-5x)² + 3/4=(5х-4)² 1/2 - это дробь 3/4...

Решите задачу:

$1) {x}^{4} (x - 1) - (x - 1) = 0 \\ (x - 1)( {x}^{4} - 1) = 0 \\ x - 1 = 0 \\ x = 1$

${x}^{4} - 1 = 0 \\ {x}^{4} = 1 \\ x = + - 1$

$2) \frac{1}{4} - 5x + 25 {x}^{2} + \frac{3}{4} = \\ = 25 {x}^{2} - 40x + 16 \\ 1 - 5x + 25 {x}^{2} - 25 {x}^{2} + 40x - 16 = 0$

$35x - 15 = 0 \\ 35x = 15 \\ x = \frac{15}{35} = \frac{3}{7}$