If (4x²-3y²) : (2x²+5y²) = 12:19,
find x : y.
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Step-by-step explanation:
(4x² - 3y²) : (2x² + 5y²) = 12:19
19(4x² - 3y²) = 12(2x² + 5y²)
76x² - 57y² = 24x² + 60y²
52x² = 117y²
x²/y² = 117/52
x²/y² = 9/4
x/y = ±3/2
x : y = 3 : 2
or
x : y = -3 : 2
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