Infinity Game

Algebra Level 1

$\sqrt { 2+\sqrt { 2+\sqrt { 2+\sqrt { 2+ \ldots } } } }=?$

2 1 3 4

2 solutions

Ojas Singh Malhi
Oct 30, 2015

Assuming the entire expression to be x we can express it as, $x=\sqrt{2+x}$ On squaring both sides we get, $x^2=x+2$ On simplifying the equation further we get a quadratic equation, $x^2-x-2=0$ On solving this equation we get, $(x+1)(x-2)=0$ Clearly, x=2

Same explanation. +1

Mahdi Raza - 1 year ago

Harish Nani
Nov 8, 2015

Assume the expression be X and the formed equation is. X=(x+2)^1÷2 by squaring x^2 =2+x by solving we get the answer we get is 0 and 0. 5. They asked the positive value so answer is 0. 5

Infinity Game

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