. If x + 1/x = 2 then find x2 + 1/x2

• If x+1/x= p ===> x^2+1/x^2=p^2-2
  Ans= 2^2-2=2
• 11 years agoHelpfull: Yes(8) No(2)
• x + 1/x = 2
  x^2 + 1/x^2 = (x + 1/x)^2-2 = 4-2 =2
• 11 years agoHelpfull: Yes(4) No(2)
• subtitute x=1 then,x+1/x=2
  so,if we will substitute (1^2)+1/(1^2)=2
  
• 11 years agoHelpfull: Yes(4) No(0)
• x+1/x=2 then squaring on both sides
  (x+1/x)^2=2^2
  x^2+1/x^2+2.x.1/x=4
  x^2+1/x^2+2=4
  x^2+1/x^2=4-2
  x^2+1/x^2=2
  that is ans :2
• 11 years agoHelpfull: Yes(3) No(3)
• x+1/x=2
  so definetly x = 1
  so x^2+1/x^2 = 1+1=2
  OR
  (x+1/x)^2 = x^2+1/x^2+2*x*1/x
  x^2+1/x^2 = 2^2-2 = 2
• 11 years agoHelpfull: Yes(1) No(0)
• 2 because applying squaring on both sides we get (x+1/x)^2=x2+1/x2+2=4 so x2+1/x2=2
• 11 years agoHelpfull: Yes(0) No(0)
• put x=1,so=2
  hence put x2=1,so=2
  ans=2
• 11 years agoHelpfull: Yes(0) No(0)
• ans:2 (x+1/x)2=x2+1/x2+x*1/x*2 : 2^2=x2+1/x2+2 :ans:2
• 11 years agoHelpfull: Yes(0) No(0)