Question

4y^2+6/y^2=11 (Hint : Substitute x for y^2)

Answer 1

Answer:

y = √6 / √7

Step-by-step explanation:

Let y^2 be x

Then the equation will become

4x + 6 / x = 11

4x + 6 = 11 × x

4x + 6 = 11x

11x - 4x = 6

7x = 6

x = 6 / 7

Since x = y^2 , therefore y^2 = 6 / 7

y = √(6 / 7)

y = √6 / √7

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Answer 2

Answer: y = √3 ÷2 or y = √2

Step-by-step explanation:

Let y² = x

4x + 6 ÷ x = 11    .. Multiply both sides by x

4x² + 6     = 11x

4x² - 11x + 6 = 0

4x - 8x -3x +6 = 0

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

4x-3 = 0 or x-2 = 0

x=3÷4 or x = 2   .. substitute y² in place of x

y2 = 3÷4 or y² = 2

y =√3÷√4 or y = √2

y = √3 ÷2 or y = √2

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