Question

Plz guys help me plz


If x -2/x = 3 ,

find

x^2 - 4/x^2​

Answer 1

Answer:

• 5

Solution :

• $\sf x - \frac{2}{x} =3$

$\longrightarrow$ Now , Take Square From Both Sides

• $\sf \bigg( x - \frac{2}{x} \bigg)^{2} = 3^{2}$

• $\sf \bigg( x² - 2 (\cancel{x})\bigg(\frac{2}{\cancel{x}}\bigg) + \bigg( \frac{2}{x} \bigg)^{2} \bigg) = 9$

• $\sf x² - 2(2) + \frac{4}{x²} = 9$

• $\sf x² - 4 + \frac{4}{x²} = 9$

• $\sf x² + \frac{4}{x²} = 9 - 4$

• $\sf \underline{\boxed{x² + \frac{4}{x²} = 5 }}$

I hope it helps you ❤️✔️