Question

solve:- 4y2+ 6/y2 = 11
(hint:- substitute x for y2)​

Answer 1

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Answer:

The value of y is 1.14

Step-by-step explanation:

$4 x + \frac{6}{x} = 11$

$\frac{4 {x}^{2} + 6}{x} = 11$

$4 {x}^{2} - 11x + 6 = 0$

$4 {x}^{2} - 3x -8 x + 6 = 0$

$x(4x - 3) - 2(4x - 3) = 0$

$x - 2 = 0 \: \: \: \: \: 4x - 3 = 0$

$x = 2 \: \: or \: \: \frac{3}{4}$

${y}^{2} = 2$

$y = \sqrt{2}$