SOLUTION: The value of the expression sq rt of 6 plus sqrt of 6 plus sqrt of 6 upto infinity is -----?

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Question 935087: The value of the expression sq rt of 6 plus sqrt of 6 plus sqrt of 6 upto infinity is -----?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
+x=+sqrt%28+6%2Bsqrt%286%2Bsqrt%286%29%29%29.......infinity
+x=+sqrt%286%2Bx%29
squaring on both sides
+x%5E2=%28sqrt%286%2Bx%29%29%5E2
+x%5E2+=6%2Bx
move 6+x to the right
+x%5E2-x-6+=0
+x%5E2-3x%2B2x-6+=0
+x%28x-3%29%2B2%28x-3%29=0
+%28x%2B2%29%2A%28x-3%29=+0
possible solutions are
either x+2 =0 or x-3 =0
x= -2 or x= 3
but x represents sum of sq rt of 6 plus sqrt of 6 plus sqrt of 6 upto infinity.. it cannot be negative
x = 3
result : x= 3