Question 402193
I'll assume you meant:
{{{6sqrt(x-1)+1=x}}}
subtract 1 from both sides:
{{{6sqrt(x-1)=x-1}}}
divide both sides by 6:
{{{sqrt(x-1)= (x-1)/6}}}
square both sides:
{{{x-1= (x-1)^2/6^2}}}
{{{x-1= (x^2-2x+1)/36}}}
cross multiply:
{{{36x-36= x^2-2x+1}}}
{{{-36= x^2-38x+1}}}
{{{0= x^2-38x+37}}}
{{{0= (x-1)(x-37)}}}
x = {1, 37}