Question

if x square + y square /x square -y square = 17/8 find the value of ratio and proportion
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Answer 1

Step-by-step explanation:

$\frac{{x}^{2} + {y}^{2}}{ {x}^{2} - {y}^{2} } = \frac{17}{8} \\ by \: applying \: componendo \: and \: dividendo \: we \: get \\ \frac{ {x}^{2} + {y}^{2} + {x}^{2} - {y}^{2} }{ {x}^{2} + {y}^{2} - {x}^{2} + {y}^{2} } = \frac{17 + 8}{17 - 8} \\ \frac{2 {x}^{2} }{2 {y}^{2} } = \frac{25}{9} \\ \frac{x}{y } = \sqrt{ \frac{25}{9} } = \frac{5}{3}$