
Example: If (x+1/x) = 6 find x^{2}+1/x^{2}. Solution: Given that (x+1/x) = 6 . Take square on both sides. (x+1/x)^{2} = 6^{2} x^{2 }+ 2.x.1/x + (1/x)^{2} = 36 x^{2 }+ (1/x)^{2} = 362 x^{2 }+ (1/x)^{2} = 34 Directions: Solve the following problems. Also write at least ten examples of your own. 