Sqrt(x+7)=x sqrt(x+7) what is the sum of the root of the equation

• √(x+7)= x√(x+7)
  x√(x+7) - √(x+7)=0
  √(x+7) (x-1) = 0
  checking possible roots ..
  √(x+7)=0
  x= -7
  and x-1=0
  x=1
  sum of the roots -7 + 1= -6
• 10 years agoHelpfull: Yes(16) No(0)
• sqrt(x+7)=x sqrt(x+7)
  
  squiring both the side
  
  so
  
  (x+7)=x^2 (x+7)
  (x+7)=(x^3+7x^2)
  x^3 - 7x^2 - x - 7 =0
  x^2(x+7)-1(x+7)=0
  (x^2 - 1)(x+7)=0
  
  so their is three roots
  
  first x+7=0 => x=-7
  
  and x^2 - 1 =0 so x=+1 and -1
  
  
  so the possible of sum = -8 or +6
• 10 years agoHelpfull: Yes(3) No(0)
• sorry in my last post i make a mistake
  the possible sum of the roots= -8 or -6
• 10 years agoHelpfull: Yes(3) No(0)
• ON SQUARING......
  (x^2-1)(xplus7)equal to 0
  sum will be -7
• 10 years agoHelpfull: Yes(2) No(0)
• this equetion is satisfi only when
  x=1 or x=-7
  so sum of roots=1-7=-6
• 10 years agoHelpfull: Yes(0) No(0)