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Problem Solving (PS) | Re: If (x + 5)(1/x + 1/5) = 4, then x =

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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
...

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