Объяснение:
8x^4 - 10x^2 + 2 = 0
Замена:
t = x^2
8t^2 - 10t + 2 = 0
4t^2 - 5 + 1 = 0
D = 25 - 16 = 9
t1 = (5 - 3) / 8 = 2 / 8 = 0.25
t2 = (5 + 3) / 8 = 1
Обратная замена:
0.25 = x^2
x1 = 0.5, x2 = -0.5
1 = x^2
x3 = 1, x4 = -1
ответ: x1 = 0.5; x2 = -0.5; x3 = 1; x4 = -1.
Объяснение:
8x^4 - 10x^2 + 2 = 0
Замена:
t = x^2
8t^2 - 10t + 2 = 0
4t^2 - 5 + 1 = 0
D = 25 - 16 = 9
t1 = (5 - 3) / 8 = 2 / 8 = 0.25
t2 = (5 + 3) / 8 = 1
Обратная замена:
0.25 = x^2
x1 = 0.5, x2 = -0.5
1 = x^2
x3 = 1, x4 = -1
ответ: x1 = 0.5; x2 = -0.5; x3 = 1; x4 = -1.