F.4 maths----含有平方根號ge方程(三)

2006-11-18 10:39 pm
(由於冇平方根ge符號,所以要用文字表達)

x - 3平方根x - 2 = 0
更新1:

x - 3√x - 2 = 0

回答 (2)

2006-11-18 10:53 pm
✔ 最佳答案
x - 3√(x – 2) = 0
x = 3√(x – 2)
x2 = 9(x - 2)
x2 - 9(x - 2) = 0
x2 - 9x + 18 = 0
(x – 3)(x – 6) = 0
(x – 3) = 0 或 (x – 6) = 0
x = 3 或 x = 6
2006-11-18 10:53 pm
x-3√x-2=0
Let y=√x
y^2-3y-2=0
y=(3士√27)/2
y=(3+3√3)/2 or y=(3-3√3)/2
x=9+4.5√3 or x=9-4.5√3


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