Question

Решите уравнение: ( x^2-2)^2+3(x^2-2)+2=0

Answer 1

Х^2 - 2 = а
а^2 + 3а + 2 = 0
D = 9 - 8 = 1
a1 = ( - 3 + 1 ) : 2 = - 1
a2 = ( - 3 - 1 ) : 2 = - 2
1) x^2 - 2 = - 1
X^2 = 1
X1 = 1
X2 = - 1
2) x^2 - 2 = - 2
X^2 = 0
X = 0
Ответ 0 ; 1 ; - 1