Question

If. 3y - 1/3y = 7, find 9y² + 1/9y²
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Answer 1

Answer:

51

Step-by-step explanation:

${(3y - \frac{1}{3y}) }^{2} = {7}^{2} \\ 9 {y}^{2} + \frac{1}{ {9y}^{2} } - 2 \times 3y \times \frac{1}{3y} = 49$

$9 {y}^{2} + \frac{1}{ {9y}^{2} } = 51$

Answer 2

Step-by-step explanation:

3y-1/3y=7

squaring on both sides

9y^2+1/9y^2- 2×3y×1/3y=49

=>9y^2+1/9y^2-2=49

=>9y^2+1/9y^2=49+2=51

ans is 51

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