Question 560654
{{{sqrt(sqrt(x+5)+x)=5}}}
{{{(sqrt(sqrt(x+5)+x))^2=(5)^2}}}
{{{(sqrt(x+5)+x)=25}}}
{{{(sqrt(x+5))=25-x}}}
{{{x+5=(25-x)^2}}}
{{{x+5=625-50x+x^2}}}
{{{-x-5+625-50x+x^2=0}}}
{{{-51x+620+x^2=0}}}
rearrange above equation
{{{x^2-51x+620=0}}}
Now solve for x
{{{x^2-31x-20x+620=0}}}
{{{x(x-31)-20(x-31)=0}}}
{{{x(x-31)-20(x-31)=0}}}
{{{(x-31)(x-20)=0}}}
{{{x-31=0}}}or {{{x-20=0}}}
{{{x=31}}}or {{{x=20}}}