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Solving an Equation to find the value of x

jacks

Well-known member
Apr 5, 2012
226
Calculate value of $x$ in $\displaystyle \sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+x}}}} = x$
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Hint: let $\displaystyle x+1=x^2$