What is $\sqrt{12 + \sqrt{12 + \sqrt{12 + \dotsb}}}$?
What is
√12+√12+√12+⋯?
x=√12+√12+√12+⋯square both sidesx2=12+√12+√12+√12+⋯x2=12+xx2−x−12=0x=1±√12−4(−12)2x=1±√492x=1±72x1=1−72x1=−3no solution x must >0 !x2=1+72x2=4
√12+√12+√12+⋯=4