Edugoog
x - 1/x = 1/2→ (x - 1/x)2= 1/4→ x2 + 1/x2 - 2 = 1/4→ x2 + 1/x2 = 9/4→ (4x2 + 4/x2) = 4 (x2 + 1/x2) = 4 x 9/4 = 9.