Question

Розв’яжіть рівняння:

Answer 1

$64 {x}^{5} - 169 {x}^{3} = 0 \\ {x}^{3} (64 {x}^{2} - 169) = 0 \\ {x}^{3} ((8x) {}^{2} - 13 {}^{2} ) = 0 \\ {x}^{3} (8x - 13)(8x + 13) = 0 \\ {x}^{3} (x - \frac{13}{8} )(x + \frac{13}{8} ) = 0 \\ {x}^{3} (x - 1 \frac{5}{8} )(x + 1\frac{5}{8} ) = 0 \\ x_{1} = 0 \\ x_{2} = 1 \frac{5}{8} \\ x_{3} = - 1 \frac{5}{8}$