Question

x/y+y/x=10/4 then the value of x:y
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Answer 1

Answer:

$\frac{x}{y} + \frac{y}{x} = \frac{10}{4}$

LET x/y be a

then

$a + \frac{1}{a} = \frac{10}{4}$

$\frac{ {a}^{2} + 1}{a} = \frac{5}{2}$

$2 {a}^{2} + 2 = 5a$

$2 {a}^{2} - 5a + 2 = 0 \\ 2 {a}^{2} - 4a - a + 2 = 0 \\ 2a(a - 2) - 1(a - 2) = 0 \\ (a - 2)(2a - 1) = 0$

THEN

$a = 2 \: \: or \: \: a = \frac{1}{2}$

THEN THE VALUE OF x:y ARE 2 AND 1/2

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