Question

# Let x=√4+√4−x Then x equals : (CAT 2005)3

Solution

## The correct option is C Ans :(c) x=√4+√4−x x2=4+√4−x;(x2−4)=√4−x Only option c satisfies this condition. Shortcut : Reverse Gear X=√4+a small value ( note the minus signs inbetween ) ⇒ the answer is something slightly greater than 2 . Look for an answer option, which is slightly greater than 2 (a) 3 is much greater than 2 (b) (√13−1)∼2  1.1 (this can never be the answer) (c) (√13+1)∼2  2.2 (this is a possible answer) (d) √13= something greater than 3. this is also not possible, as the value is too high

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