Question

find the value of x, if x=√6+√6......infinity

Answer 1

x = √6 + √6
x = 2.44 + 2.44
x = 4.88

Answer 2

if x = √6+√6+√6+............infinity
this implies
x=√(6+x)
squaring both sides
${x}^{2} = 6 + x$
x^2-x-6=0
x^2-3x+2x-6=0
x(x-3)+2(x-3)=0
(x+2)(x-3)=0
x= -2,3