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# If (x + 5)(1/x + 1/5) = 4, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
If (x + 5)(1/x + 1/5) = 4, then x =  [#permalink]

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07 Apr 2019, 21:18
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:16) correct 14% (01:59) wrong based on 22 sessions

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If $$(x+5) (\frac{1}{x}+\frac{1}{5})=4$$, then x=

A. $$\frac{1}{5}$$

B. $$\frac{1}{2}$$

C. 1

D. 5

E. 10

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Concentration: Sustainability, Marketing
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Re: If (x + 5)(1/x + 1/5) = 4, then x =  [#permalink]

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08 Apr 2019, 00:49
Bunuel wrote:
If $$(x+5) (\frac{1}{x}+\frac{1}{5})=4$$, then x=

A. $$\frac{1}{5}$$

B. $$\frac{1}{2}$$

C. 1

D. 5

E. 10

solve for expression $$(x+5) (\frac{1}{x}+\frac{1}{5})=4$$
we get
(x+5)^2=20x

solve
x^2-10x+25=20x
or say (x-5)(x-5)
x=+5
IMO D
Re: If (x + 5)(1/x + 1/5) = 4, then x =   [#permalink] 08 Apr 2019, 00:49
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