6. Решите уравнение: (х^2−2)^2+3(х^2−2)+2=0.

Question

6. Решите уравнение: (х^2−2)^2+3(х^2−2)+2=0.

Answer 1

Пусть ( 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 1 ; - 1 ; 0

Answer 2

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