Question

y²+1/y²=98
find y+1/y​

Answer 1

Answer:

(1+2√96)/√96 or ≈ 2.1

Step-by-step explanation:

${y}^{2} + \frac{1}{ {y}^{2} } = 98 \\ = > \frac{2 {y}^{2} + 1 }{ {y}^{2} } = 98 \\ = > 2 {y}^{2} + 1 = 98 {y}^{2} \\ = > 1 = 98 {y}^{2} - 2 {y}^{2} \\ = > 96 {y}^{2} = 1 \\ = > y = \frac{1}{ \sqrt{96} }$

So, y + 1/y

= 1/√96 + √96

$= \frac{1 + 2 \sqrt{96} }{ \sqrt{96} }$