\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+....}}} =

TS ICET 24 May 2019 Shift 1 Paper

Question : 81 of 200

Marks: +1, -0

√{6+√{6+√{6+√{6+....}}}}

Solution:

Let

x=√{6+√{6+√{6+√{6+}}}}

x=√{6+x} ⇒ x^{2}=6+x

⇒ x^{2}-x-6=0

⇒ x=3 \;\text " or "\;-2

Since x is positive x = 3

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