Question

please try to help out me with this problem​

Answer 1

on cross multiplication:

$8x {}^{2} + 8y {}^{2} = 17x {}^{2} - 17y { }^{2}$

$8y {}^{2} + 17y {}^{2} = 17x { }^{2} - 8x {}^{2}$

$25y {}^{2} = 9x {}^{2}$

$x {}^{2} \div y {}^{2} = 25 \div 9$

on taking root:

x / y = 5/3

therefore, x : y = 5 : 3

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