A question

2009-05-03 8:27 am
Answer the question in a detailed manner.

1. 4k^(3/2) - 6k = 54

回答 (2)

2009-05-03 10:54 am
✔ 最佳答案
Let x = k1/2
4k3/2 - 6k = 54
4x3 - 6x2 = 54
2x3 - 3x2 - 27 = 0
(x - 3)(2x2 + 3x + 9) = 0
x = 3
k1/2 = 3
k = 9
2009-05-03 9:07 am
Let x=k^(1/2)
4k^(3/2) - 6k = 54
4x^3 - 6x = 54
x(2x-3)=27
=>2x^2-3x-27=0
(2x-9)(x+3)=0
x=9/2 or -3

So k=81/4


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