Question

x+y : √xy = 4:1 then the ratio of x:y
please solve as soon as possible​

Answer 1

Step-by-step explanation:

x+y

=

1

4

x+y=4

xy

−equation 1

(x+y)

2

=4

2

xy

x

2

+y

2

+2xy=16xy

x

2

+y

2

−14xy=0

(x−y)

2

=12xy

x−y=2

3

xy

−equation 2

Solve equations 1 and 2

\begin{gathered}2x = (4+2\sqrt{3})\sqrt{xy} \\ \\ \sqrt{x} = (2+\sqrt{3})\sqrt{y} \\ \\ \frac{\sqrt{x}}{\sqrt{y}} = 2 + \sqrt{3} \\ \\ squaring\ both\ sides: \\ \\ \frac{x}{y} = 4+3+4\sqrt{3} \\ \\ = 7+4\sqrt{3} \\ \\ \end{gathered}

2x=(4+2

3

)

xy

x

=(2+

3

)

y

y

x

=2+

3

squaring both sides:

y

x

=4+3+4

3

=7+4

3

Answer 2

Answer:

14-y/x

Step-by-step explanation:

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