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If xy = 5 and x^2 + y^2 = 12, then x/y + y/x =
A. 2 2/5
B. 3 1/7
C. 5 1/3
D. 7
E. 60
Kudos for a correct solution.
_________________
A. 2 2/5
B. 3 1/7
C. 5 1/3
D. 7
E. 60
Kudos for a correct solution.
_________________
New to the GMAT Club?
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Bunuel
Simplifying x/y + y/x we get
\(\frac{(x^2+y^2)}{xy}\)
\(\frac{12}{5}\)
\(2\frac{2}{5}\)
Answer: A
Harley1980
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Bunuel
We can make simplifying of question and get it in view: (x^2 + y^2) / xy and as we know the meaning of this parts:
x^2 + y^2 = 12
xy = 5
we can calculate the answer 12/5 -> 2 2/5 so answer is A
and we have another way of decision by division these two equations:
(x^2 + y^2) / xy = 12 / 5
x/y + y/x = 12 / 5 -> 2 2/5 so answer is A
_________________
xy=5; x^2+y^2=12; (x/y)+(y/x)=?
Simplifying we get (x^2+y^2)/xy =12/5=2*2/5
Hence Answer is A
Thanks,
Simplifying we get (x^2+y^2)/xy =12/5=2*2/5
Hence Answer is A
Thanks,
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Bunuel
With given values, we first simplify \(x/y + y/x\) :
we get, \((x^2 + y^2)/xy\)
place the given values above and we get
12/5 or 2 2/5
Answer:A
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Answer = A. 2 2/5
\(\frac{x}{y} + \frac{y}{x} = \frac{x^2 + y^2}{xy} = \frac{12}{5} = 2 \frac{2}{5}\)
\(\frac{x}{y} + \frac{y}{x} = \frac{x^2 + y^2}{xy} = \frac{12}{5} = 2 \frac{2}{5}\)
Bunuel
Answer=A
Simplifying, x/y+y/x=x^2+y^2/xy=12/5=2 2/5
Bunuel
MAGOOSH OFFICIAL SOLUTION:
Attachment:
xyequals5_text.PNG [ 8.24 KiB | Viewed 21098 times ]
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Bunuel
\(\frac{x}{y} + \frac{y}{x}\)
\(= \frac{x^2 + y^2}{xy}\)
\(= \frac{12}{5}\)
\(= 2 \frac{2}{5}\), Answer will be (A)
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