Question

We have to solve it using quadratic equation. ➗➕➖✖

Answer 1

Let $x = \sqrt{6+ \sqrt{6+ \sqrt{6+ \sqrt{6+ \sqrt{6+.........} } } } }$

Squaring on both sides

$x^2 = 6 + \sqrt{6+ \sqrt{6+ \sqrt{6+ \sqrt{6+ \sqrt{6+.........} } } } }$

$x^2 = 6 + x$

$x^2 - x - 6 = 0$

Solving the quadratic equation, we get

(x-3)(x+2) = 0

x = 3

Answer 2

Answer:

It is the correct answer.

Step-by-step explanation:

Hope this attachment helps you.