Question 127252
Solve: 
{{{5(x-2)^2=3}}} .........both sides divide by {{{5}}}
{{{(x-2)^2=3/5}}} 
{{{sqrt((x-2)^2)=sqrt(3/5)}}} 
{{{x-2=sqrt(3/5)}}} 
{{{x =sqrt(3/5)+ 2}}} 
{{{x =sqrt(3)/sqrt(5)+ 2}}} 
{{{x =(sqrt(3)+ 2sqrt(5))/sqrt(5)}}} 
{{{x = sqrt(5)((sqrt(3)+ 2sqrt(5))) /sqrt(5)sqrt(5)}}} 
{{{x = sqrt(5)((sqrt(3)+ 2sqrt(5))) /5}}} 


{{{x = (sqrt(5)(sqrt(3)+ 2sqrt(5)sqrt(5))) /5}}} 

{{{x = ((sqrt(15)+ 2(5))) /5}}} 

{{{x = (sqrt(15)+10) /5}}}