Question

Розв'яжіть рівняння 1) 2х³-18х=0 2) 50х³-20х²+2х=0

Answer 1

1) $2x^{3} - 18x = 0 \2x * (x^{2} - 9) = 0 \x * (x^{2} - 9) = 0\\x =0\x^{2} - 9 = 0\\x = 0 \x = - 3\x = 3\\\x_{1} = -3; x_{2} = 0; x_{3} = 3$

2) $50x^{3} -20x^{2} +2x=0\2x * (25x^{2} - 10x + 1) = 0\2x * (5x - 1)^{2} = 0 \x * (5x - 1)^{2} = 0 \\x = 0\(5x - 1)^{2} = 0\\x = 0\x = frac{1}{5} \\x_{1} = 0; x_{2} = frac{1}{5}$