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If x = 10^-1, what is the value of (x + 1/x)(1/x)?
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03 Jun 2014, 08:54
03 Jun 2014, 08:54
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Question Stats:
88% (00:43) correct
11% (01:05) wrong based on 36 sessions
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Re: If x = 10^-1, what is the value of (x + 1/x)(1/x)?
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27 Feb 2018, 08:32
27 Feb 2018, 08:32
Bunuel wrote:
Nice rule: 1/(a/b) = b/a
So, for example, 1/(2/3) = 3/2
And 1/(1/10) = 10
GIVEN: x = 10^(-1) = 1/10
So. let's take (x + 1/x)(1/x) and replace x with 1/10
We get: = (x + 1/x)(1/x) = [1/10 + 1/(1/10)][1/(1/10)]
= (1/10 + 10)(10) [after we apply above rule]
= 1 + 100 [after we expand]
= 101
Cheers,
Brent
