Question

(x+1/x)=4 find (x-1/x)^2​

Answer 1

Explanation:

x+1/x = 4 --------------------------------eq. 1

Squaring eq. 1 on both sides

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

=> x^2 + (1/x)^2 + 2.x.1/x = 16

=> x^2 + 1/x^2 + 2 = 16

=> x^2 + 1/x^2 = 16-2 = 14

Therefore: x^2 + 1/x^2 = 14

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