Question

if x+1/x=12, evaluate x-1/x​

Answer 1

Answer:

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(x+1/x)² = (x²+(1/x)² +2

(12)² = x²+ 1/x² +2

144-2 = x²+ 1/x²

x²+ 1/x² = 142

(x-1/x)² = x²+ 1/x² -2

          = 142  - 2

          = 140

x-1/x = √140

x-1/x = 2√35

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Step-by-step explanation: