Question

If x + 1/x = √2 then x² + 1/x²
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Answer 1

Answer:

x^2+1/x^2=0

Step-by-step explanation:

x+1/x=√2

squaring on both sides

(x+1/x) ^2=2

x^2+1/x^2+2(x.1/x)=2 ie,(x.1/x=1)

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

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

x^2+1/x^2=0