Question

If x - 1/x = 3/2 then x+1/x
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Answer 1

Answer:

5/2

Step-by-step explanation:

x - 1/x = 3/2

( x - 1/x)^2  = (3/2)^2

x^2 + 1/x^2 -2 = 9/4

x^2 + 1/x^2 = 9/4+2

x^2 + 1/x^2 =17/4

(x+1/x)^2 = x^2 + 1/x^2 +2

 (x+1/x)^2  = 17/4 + 2

 (x+1/x)^2 = 25/4

x+1/x = Root of 25/4    

x+1/x = 5/2