Question

if x=(4-√15), find the values of x^2+1/x^2​

Answer 1

Answer:

x = 4 - √15

1/x = 1/(4-√15) = (4+√15)/(16-15) = 4+√15

Adding, x+1/x = 8

Squaring both sides, x²+1/x² + 2 =64

Therefore, x²+1/x² = 62.