x+ 1/x =5 what is the value x²+1/x²?

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01-02-2016
Mathematics

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x+ 1/x =5 what is the value x²+1/x²?

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Billymkhoi Billymkhoi · Answer 1 · 2016-02-01T17:28:54+01:00

Billymkhoi Billymkhoi

01-02-2016

x+ 1/x= 5
⇒ (x+ 1/x)^2= 5^2
⇒ (x+ 1/x)^2= 25
⇒ x^2+ 2(x)(1/x)+ 1/x^2= 25
⇒ (x^2+ 1/x^2)+ 2*1= 25
⇒ x^2+ 1/x^2= 25 -2
⇒ x^2+ 1/x^2= 23

The final answer is 23~

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