maths~~~~~

2010-04-28 1:31 am

回答 (1)

2010-04-28 1:39 am
✔ 最佳答案
Let y = x + 1/x

So, the equation becomes:

2y^2 - 7y + 6 = 0

which is a quadratic equation:

2y^2 - 7y + 6 = 0

(2y - 3)(y - 2) = 0

y = 3/2 or 2

So, x + 1/x = 3/2 or 2

2x^2 - 3x + 1 = 0 or x^2 - 2x + 1 = 0

(2x - 1)(x - 1) = 0 or (x - 1)^2 = 0

x = 1/2 or 1
參考: Physics king


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