Question

(x+1/x)=6 , then (x²+1/x²) ==​

Answer 1

Answer:

Step-by-step explanation:

x+1/x = 6

Squaring both sides

(x+1/x)^2 = (6)^2

(x)^2 + (1/x)^2 + 2(x)(1/x) = 36

x^2 + 1/x^2 + 2 = 36

So , x^2 + 1/x^2 = 36-2 = 34

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Answer 2

Step-by-step explanation:

x+1/x=6

x²+1/x²=(x+1/x)²-2.x.1/x

=(6)²-2=36-2=34

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