Question

(4x2 - 3y2) : (2x2 + 5y2) = 12 : 19, find x : y.
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Answer 1

Answer

Answer

The answer is 3/4

step by step explanation

$\frac{ {4x }^{2} - {3y}^{2} }{ {2x}^{2} + {5y}^{2} } = \frac{12}{19} \\ \\ 19( {4x}^{2} - {3y}^{2} ) = 12( {2x}^{2} + {5y}^{2} ) \\ \\ {52x}^{2} = {117y}^{2} \\ \\ {4x}^{2} = {9y}^{2} \\ \\ \frac{ {x}^{2} }{ {y}^{2} } = \frac{9}{4} \\ \\ \frac{x}{y} = \frac{3}{4} answer \:$