Question

If x-1/x=3/2 , then the value of x+1/x is​

Answer 1

Answer:

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

(3/2) ^2 = x^2+1/x^2 - 2

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

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

x^2+1/x^2 = 13/2

now,

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

(x + 1/x) ^2 = 13/2 + 2

(x + 1/x) ^2 = 13 + 4/2

(x + 1/x) ^2 = 17/2

x + 1/x = √17/2

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