root 6 plus root 6 till infinity is equal to

We are given6+6+6+...........let x=6+6+6+...........Squaring both sides,  we getx2=6+ 6+6+6+...........x2=6+x                                               6+6+6+...........=xx2-x-6=0x2-3x+2x-6=0xx-3+2x-3=0x-3x+2=0x=-2, 3As, 6+6+6+........... is positive.Therefore,the value of   6+6+6+........... is  3

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