Question

Please Solve this Question

Answer 1

Hey ❤️ here is your answer ⤵️

Solution :

• $\sf \bigg( x + \frac{1}{x} \bigg) = 5$

$\longrightarrow$ Now, In Given Equation Take Square From Both Sides

Hence,

• $\sf \bigg( x + \frac{1}{x} \bigg)^{2} = 5^{2}$

• $\sf \bigg( (x)² + 2(\cancel{x}) \bigg(\frac{1}{\cancel{x}} \bigg) + \bigg(\frac{1}{x} \bigg) ^{2} \bigg) = 25$

• $\sf \bigg( x² + 2 + \bigg(\frac{1}{x²} \bigg) \bigg) = 25$

• $\sf x² + \frac{1}{x²} = 25 - 2$

• $\sf \underline{\boxed{x² + \frac{1}{x²} = 23} }$

I hope it helps you ❤️✔️