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loneguy

[tex]\dfrac{9x^2}{y^2} -3x = 5 w\\\\\implies 9x^2 - 3x y^2 = 5wy^2 ~~~;[\text{Multiply both sides by}~ y^2]\\\\\implies 5wy^2 + 3xy^2 = 9x^2\\\\\implies y^2(5w +3x) = 9x^2\\\\\implies y^2 = \dfrac{9x^2}{5w +3x}\\\\\\\implies y = \pm \sqrt{\dfrac{9x^2}{5w +3x}} = \pm\dfrac{3x}{\sqrt{5w +3x}}[/tex]

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