The value of is

In given equation let x =


So, x = √(6 + x)


Now squaring both side


x2 = 6 + x


X2 – x – 6 = 0


X2 – 3x + 2x – 6 = 0


x(x – 3) + 2(x – 3) = 0


(x – 3) (x + 2) = 0


x = 3 or – 2


x cannot be equal to – 2 as root can never be negative.


x = 3

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