SOLUTION: Please help me solve this equation: {{{ sqrt (sqrt (x+5) +x) = 5 }}}

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Question 996128: Please help me solve this equation:
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The site stopped responding just after I submitted almost the entire solution process.

..
x^2-51x+620=0
.
from quadratic equation, discriminant is .

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
= .

Square both sides. You will get

= .

= ,

Square both sides again. You will get

= ,

= ,

= .

= , =

Check. = :    = = = = .         OK!

             = :    = = = = .     It is OK,  if you admit   = .


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