How many solution exist for
sqrt(x+7) = x*sqrt(x+7)

• there will be 2 solution
  sqrt(x+7)=x*sqrt(x+7)=>x=1
  sqrt(x+7)-x*sqrt(x+7)=0
  sqrt(x+7)(1-x)=0 => x=-7 or 1
  squaring both sides
  x+7=x^2*(x+7)=>x^2=1 =>x=+-1
  thus the values of x are +1,-1,-7
  but if we put -1 the original equation we will get imaginary numbers which cant be compared thus we can say that there will be only 2 solution i.e x=1,-7
  FRIENDS DON'T JUDGE THE NUMBER OF SOLUTION FROM THE HIGHEST POWER OF 'X' BECOZ WE MAY GET TWO SAME VALUES EXAMPLE: (X-1)^3 HERE WE WILL GET ONLY ONE SOLUTION I.E X=1 BUT POWER OF X IS 3. SO I RECOMMEND U TO SOLVE THE EQUATION
• 9 years agoHelpfull: Yes(32) No(1)
• there are 3 solutions as max degee of x is 3 in the eqation
• 9 years agoHelpfull: Yes(7) No(11)
• squaring both side we get
  (x+7)=x^2*(x+7)
  (x+7){1-x^2}=0
  then x=+1,-1,-7
  three solution exits.
• 9 years agoHelpfull: Yes(4) No(8)
• sqring both side
  we have
  (x+7)=x^2*(x+7)
  here we can cancelleout (x+7) from both sides
  when (x+7)is not equals to 0
  hence X=-7 will not accepted.
  also x^2=0
  gives x=-1,+1
  butx=-1
  not satisfies the original equation
  hence only one solution is posible i.e +1.
• 9 years agoHelpfull: Yes(3) No(12)
• only 2 solutions i.e 1 and -7.
  By substituting 1 and -7 only, the above equation can be satisfied.
• 9 years agoHelpfull: Yes(2) No(1)
• sqaure from both side
  x+7=x^2(x+7)
  x=1,-1,7
  but original equation satisfied by 1 and 7 so only two solution possible
• 9 years agoHelpfull: Yes(2) No(0)
• sorry guys in above solution x^2=1 not=0
• 9 years agoHelpfull: Yes(1) No(0)
• by putting x=-1 i don't think we would get a imaginary value .then what we would get?
  we would get a irrational number not a imaginary number. Although -1 will not satisfy the above equation as sqrt(6) cant be equal to -sqrt(6) {- implies minus} so there is only 2 solution 1,-7 . :)
• 8 years agoHelpfull: Yes(1) No(0)
• The sol will be two 1 and -7 n can be solved by taking x+7 k2
• 9 years agoHelpfull: Yes(0) No(3)
• only 1 solution that is at x=1
• 9 years agoHelpfull: Yes(0) No(1)
• x*sqrt(x+7)-sqrt(x+7)=0
  sqrt(x+7)(x-1)=0
  x=1 or x=-7
• 9 years agoHelpfull: Yes(0) No(0)