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Question

If x=2+2+2+... then

A
x=1
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B
1<x<2
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C
x=2
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D
x=3
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Solution

The correct option is D x=2
x=2+2+2+...
x=2+x
x2=x+2
x2x2=0
(x2)(x+1)=0
x=1,2
But square root of positive number is always positive.
So, x=2.

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