If \(xy = 5\) and \(x^2 + y^2 = 12,\) then \(\dfrac{x}{y} + \dfrac{y}{x} =\)

[M7MBA]

If \(xy = 5\) and \(x^2 + y^2 = 12,\) then \(\dfrac{x}{y} + \dfrac{y}{x} =\)

A. 2 2/5
B. 3 1/7
C. 5 1/3
D. 7
E. 60

[spoiler]OA=A[/spoiler]

Source: Magoosh

[Jay@ManhattanReview]

If \(xy = 5\) and \(x^2 + y^2 = 12,\) then \(\dfrac{x}{y} + \dfrac{y}{x} =\)

A. 2 2/5
B. 3 1/7
C. 5 1/3
D. 7
E. 60

[spoiler]OA=A[/spoiler]

Source: Magoosh

Dividing \(x^2 + y^2 = 12\) by \(xy = 5\), we get \(\dfrac{x}{y} + \dfrac{y}{x} =\dfrac{12}{5}=2\dfrac{2}{5}\)

The correct answer: A

Hope this helps!

-Jay
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