Question

Simultaneously equations √x/y + √y/x =17/4

Answer 1

Answer:

$\sqrt{x \div y} = a$

then given equation a+1/a= 17/4 ,

$4{a}^{2} - 17a + 4 = 0$

4

$4 {a}^{2} - 16a - a + 4 = 0$

${4a(a - 4) - 1(a - 4) }= 0$

$(a - 4)(4a - 1) = 0$

$a = 4 or \frac{1}{4}$

$\sqrt[]{x \div y } = 4$

$\frac{x}{y} = 16$

or

$\frac{x}{y } = \frac{1}{4}$