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X+ 1/x =5 what is the value x²+1/x²?
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X+ 1/x =5 what is the value x²+1/x²?

User Epi
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1 Answer

3 votes
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~
User Amri
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