Answer:
6
Step-by-step explanation:
Given
x - [tex]\frac{1}{x}[/tex] = 2
Square both sides
(x - [tex]\frac{1}{x}[/tex] )² = 2² ← expand left side using FOIL
x² - 2 + [tex]\frac{1}{x^2}[/tex] = 4 ( add 2 to both sides )
x² + [tex]\frac{1}{x^2}[/tex] = 6
