Question

Решите подробно ур-ие (^- степень) 4x^4-x^2=0

Answer 1

$4x^4-x^2=0\\\\ x^2(4x^2-1)=0\\\\ x^2=0\\\\ 4x^2 - 1 = 0\\\\ 4x^2 = 1\\\\ x^2 =\frac{1}{2}\\\\ x_1=-\frac{1}{2} \\\\ x_2=0\\\\ x_3=\frac{1}{2}$

Answer 2

4x^4 - x^2 = 0
x^2 (4x^2 - 1) = 0

x^2 = 0
x = 0

4x^2 - 1 = 0
4x^2 = 1
x^2 = 1/4
x = ± √ (1/4)
x = ± 1/2

ОТВЕТ
- 1/2; 0; 1/2