Maths Question (Equations)

2011-02-06 2:44 am
Please solve the following equation.
4(x-2)4-8(x-2)2-5=0

Clear version:
4(x-2)^4-8(x-2)^2-5=0

回答 (1)

2011-02-06 2:51 am
✔ 最佳答案
For solving the real solutions x, we let u=(x-2)^2

4(x-2)^4-8(x-2)^2-5=0
4u^2-8u-5=0
(2u-5)(2u+1)=0
u=5/2 or u=-1/2 (rejected as (x-2)^2>=0)
(x-2)^2=5/2
x-2=±√(5/2)
x=2±√(5/2)
x=2±√10/2

Hence, the real solutions are 2±√10/2


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