express f.2

2007-10-10 12:08 am
Given that x=1/n+1 and y=n/n-1
ai)express n in terms of x.
ii)express n in terms of y.
bi)express y in terms of x.
ii)express x in terms of y.

回答 (1)

2007-10-10 12:46 am
✔ 最佳答案
ai)express n in terms of x.

x=1/n+1

nx+x=1

nx=1-x

n=(1-x)/x----------(1)

ii)express n in terms of y.

y=n/n-1

ny-y=n

ny-n=y

n(y-1)=y

n=y/(1-y)---------(2)

bi)express y in terms of x.

(1)=(2)

(1-x)/x=y/(1-y)

y-yx=x-xy

y=x

ii)express x in terms of y.

for y=x in bi)

so x=y


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