Решите уравнение3x^4-5x^2+2=0

Question

Решите уравнение
3x^4-5x^2+2=0

Answer 1

3 x^4 - 5 x^2 +2 = 0;
 x^2 = t ≥ 0;
3 t^2 - 5t + 2 = 0;
D = 25 - 24 = 1 = 1^2;
t1 = 1; ⇒ x^2 = 1 ; x = +- 1;
t2 = 2/3; ⇒ x^2 = 2/3;  x = + - sgrt(2/3)