How many integers x satisfy the equation

(x2 - 2x + 2)x2 + x = 1

• (x^2-2x+2)*x^2 + x = 1
  => [(x-1)^2+1]*x^2 + x = 1
  
  for any integral values of x LHS of eqn always greater than 1
  
  NO INTEGRAL SOLUTION
• 10 years agoHelpfull: Yes(34) No(10)
• (-3*2- 2(-3) +2) * 2 + (-3)
  (-6+6 +2)* 2 (-3)
  2*2(-3)
  4-3=1
  hence x= -3 .
• 10 years agoHelpfull: Yes(6) No(21)
• 0.5916164 but this is float so no integers x satisfy the equation.
• 10 years agoHelpfull: Yes(1) No(4)
• 1 integer can satisfy that euation
• 9 years agoHelpfull: Yes(1) No(1)
• (x^2-2x+2)x^2+x=1
  (x^4-2x^3+2x^2)+x=1
  for any value of x it will return greater than 1
• 10 years agoHelpfull: Yes(0) No(0)
• no integer solution.... L.H.S for any integer value would be always greater than 1
• 10 years agoHelpfull: Yes(0) No(0)
• I think it may be 4 because degree of equation is 4
• 9 years agoHelpfull: Yes(0) No(2)