Question

if y-1/y =11 then the value of y+1/y​

Answer 1

Answer:

$y - \frac{ 1}{y} = 11 \\ \\ \\ y + \frac{1}{y} = \\ \\ \\ y - \frac{1}{y} = 11 \\ \\ {y}^{2} + \frac{1}{y^{2} } - 2 = 121 \\ \\ \\ {y}^{2} + \frac{1}{ {y}^{2} } = 123 \\ \\ ({y + \frac{1}{y} })^{2} - 2 = 123 \\ \\ (y + \frac{1}{y} )^{2} = 125 \\ \\ \\ y + \frac{1}{y} = \sqrt{125} \\ \\ y + \frac{1}{y} = 5 \sqrt{5}$

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