1.

If then find xy​

Answer»

HEY MATE THAT IS HOW TO SOLVE IT............ ❤️❤️❤️❤️

GIVEN:

\sqrt{ \frac{x}{y} + \sqrt{ \frac{y}{x} } } = \frac{10}{3}

TO FIND : VALUE OF xy.

SOLUTION :

LET x/y = a, then

\sqrt{a + \frac{1}{ \sqrt{a} } } = \frac{10}{3}

Squaring both sides,

THIS GIVES

a + \frac{1}{ \sqrt{a} } = \frac{100}{9}

Again Squaring both sides,

a {}^{2} + \frac{1}{a} + 2 \times a \times \frac{1}{ \sqrt{a} } = \frac{10000}{81}

REPLACE.

a = x/y

YOU WILL GET THIS

\frac{x {}^{2} }{y {}^{2} } + \frac{y}{x} + \frac{2 \sqrt{x} }{ \sqrt{y} } = \frac{10000}{81}

NOW, FURTHER USE WOLFRAM ALPHA

IT WILL GIVE YOU SOLUTIONS.

_________THANK YOU _________


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