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What is $\sqrt{12 + \sqrt{12 + \sqrt{12 + \dotsb}}}$?

 May 18, 2021
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What is

12+12+12+?

 

x=12+12+12+square both sidesx2=12+12+12+12+x2=12+xx2x12=0x=1±124(12)2x=1±492x=1±72x1=172x1=3no solution x must >0 !x2=1+72x2=4

 

12+12+12+=4

 

laugh

 May 18, 2021

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