Solve
Sqrt(2x^2-2x+1)-2x+3 = 0

• Correct answer will be x=1,4.
  
  Given answer is x=4 only which is wrong.
  Correct answer will be x=1,4.
  Sqrt(2x^2-2x+1)-2x+3 = 0
  or 2x^2-2x+1=(2x-3)^2
  or x^2-5x+4=0
  or x = 1,4
  
  Every body knows that
  Sqrt (25) = +- 5 and not only +5 as considered by admin.
  Sqrt (1) = +- 1 and not only +1 as considered by admin.
  If we consider
  Sqrt (25) = - 5, then x=4 should also be wrong.
  
  
  
  
• 10 years agoHelpfull: Yes(1) No(1)
• dear nishant,
  => sqrt (x^2) = |x|
  => sqrt (x^2) is never equal to + or - x.
  and by definition of |x|,
  modulus function f(x) = |x| = x, if x> or equal to 0
  = -x, if x< 0
  hope u get all cleared about sqrt and modulus.
  regards
  
• 10 years agoHelpfull: Yes(0) No(0)