RRB RPF RPSF SI and CONS Model Papers 9 with solutions

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Question : 42 of 120

Marks: +1, -0

√{6+√{6+√{6+ }}}

...... is equal to :

$6 ^{2/ 3}$
6
$3 1/ 2$
3

Solution:

(4) Let

x=√{6+√{6+√{6+ }}}.....

or,

x=√{6+x}

or,

x^{2}=6+x

or,

x^{2}-x-6=0

or,

x^{2}-3 x+2 x-6=0

or,

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

or,

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

∴ x=-2

and

x=3

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