Math, asked by sharmashresth, 1 year ago

X square + Y square upon x squared minus y square is equal to 17 upon 8 then what is the ratio of X:Y

Answers

Answered by nickkaushiknick
11

Here given that

\frac{x^2+y^2}{x^2-y^2}=\frac{17}{8}

Cross multiplying

8 ( x² + y² ) = 17 ( x² - y²)

8x² + 8y² = 17x² - 17y²

17x² - 8x² = 17y² + 8y²

9x² = 25y²

\frac{x^2}{y^2} = \frac{25}{9}\\\frac{x}{y} = \sqrt\frac{25}{9}\\\frac{x}{y}=\frac{5}{3}

∴ x : y = 5 : 3

Answered by ShiriMin
3
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