3t(cubed)-192t=0?

2008-04-02 4:00 pm

回答 (4)

2008-04-02 6:30 pm
✔ 最佳答案
3t (t² - 64) = 0
3t (t - 8) (t + 8) = 0
t = 0 , t = 8 , t = - 8
2008-04-02 11:05 pm
3t^3 - 192t = 0
3t(t^2 - 64) = 0
3t(t + 8)(t - 8) = 0

3t = 0
t = 0

t + 8 = 0
t = -8

t - 8 = 0
t = 8

∴ t = 0 , -8 , 8
2008-04-02 11:04 pm
3t^3 - 192t = 0
3t*(t^2 - 64) = 0
3t*[(t - 8)(t + 8)] = 0

Set each equal to 0:

3t = 0
t = 0
and
t - 8 = 0
t = 8
and
t + 8 = 0
t = -8

Therefore, t = 0, ±8
2008-04-02 11:03 pm
3t^3 = 192t
3t^2 = 192
t^2 = 192 / 3 = 64
t = sqrt 64 = 8


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