Question 1182355

{{{(x -1)^2 = 6}}}...take square root of both sides

{{{sqrt(x -1)^2)=sqrt( 6)}}}

{{{x -1=sqrt( 6)}}}

{{{x =1+sqrt( 6)}}}

solutions:

{{{x =1+sqrt( 6)}}}

or
{{{x =1-sqrt( 6)}}}


=> real solutions are: exactly {{{1+sqrt( 6)}}}, {{{1-sqrt( 6)}}}

approximately: {{{3.5}}}, {{{-1.5}}}