Question

X - 1/x =√3 then x2+1/x2=?

Answer 1

Answer:

x² + 1/x² = 5

Solution:

• Given : x - 1/x = √3
• To find : x² + 1/x² = ?

We have ;

x - 1/x = √3

Now,

Squaring both sides , we get ;

=> (x - 1/x)² = (√3)²

=> x² - 2•x•(1/x) + (1/x)² = 3

=> x² - 2 + 1/x² = 3

=> x² + 1/x² = 3 + 2

=> x² + 1/x² = 5

Hence,

x² + 1/x² = 5