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Step-by-step explanation:
4y² + 6/y² = 11
Let x= y²
Therefore, equation becomes,
4x + 6/x = 11
=> x(4x + 6/x) = x×11
=> 4x² + 6 = 11x
=> 4x² - 11x + 6 = 0
=> 4x² - 8x - 3x + 6 = 0
=> 4x(x-2) -3(x-2) = 0
=> (4x-3)(x-2) = 0
=> x = 3/4 or 2
y² = 3/4 or 2
y = √3/2 or √2
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