Question

if y^2+1/y^2 =11 find th value of y-1/y​

Answer 1

$( \frac{ {y}^{2} + 1}{ {y}^{2} } ) = 11$

${y}^{2} + 1 = 11 {y}^{2}$

$1 = 11 {y}^{2} - {y}^{2}$

$1 = 10 {y}^{2}$

${y}^{2} = \frac{1}{10}$

$y = \sqrt{ \frac{1}{10} }$

$y = 0.1$

putting value of y in the given equation,

• $\frac{y - 1}{y}$
• $\frac{0.1 - 1}{0.1}$
• $-9$