Math, asked by rashmisangekari, 6 months ago

PLS ANSWER THIS DONT ANSWER IF U DONT KNOW

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Answered by abhi52329
0

Answer:

x=4

Step-by-step explanation:

since the term extends indefinitely we can write,

x = 2 +  \sqrt{x}

The above step is very important and key to solving questions like this. Basically we express the variable in its own terms

Solving,

x - 2 -  \sqrt{x}  = 0

x - 2 - 2 \sqrt{x}  +  \sqrt{x}  = 0

x +  \sqrt{x}  - 2 - 2 \sqrt{x}  = 0

 \sqrt{x} ( \sqrt{x}  + 1) - 2(  \sqrt{x}  + 1) = 0

( \sqrt{x}  + 1)( \sqrt{x}  - 2) = 0

Solving we get

x=4 or x=1

But x=1 is neglected because the sum will be more than 2

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