Problem Solving (PS) | Re: If 0.010

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1/√5-1/x = x-√5/x√5

From 0.010<x-√5<0.011, we have 0.010 + √5<x <0.011 + √5.
We have 1/0.010+ √5 < 1/x < 1/0.011+ √5 or 1/0.010√5+5 < 1/x√5 < 1/0.011√5+5.
0.010/0.010√5+5 < x-√5/x√5 < 0.011/0.011√5+5.
The approximation of x-√5/x√5 is 0.01/5=0.002

Thus, the answer is B.


Answer: B

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