Question 62500
{{{sqrt(2x-1)+9=14}}}
{{{sqrt(2x-1)+9-9=14-9}}}
{{{sqrt(2x-1)=14-9}}}
{{{sqrt(2x-1)=5}}}
You're on the right track, now square both sides.
{{{(sqrt(2x-1))^2=(5)^2}}}
{{{2x-1=25}}}
{{{2x-1+1=25+1}}}
{{{2x=26}}}
{{{2x/2=26/2}}}
{{{x=13}}}
:
Check for extraneous solutions, you always do that with even root equations.
{{{sqrt(2(13)-1)+9=14}}}
{{{sqrt(26-1)+9=14}}}
{{{sqrt(25)+9=14}}}
{{{5+9=14}}}
{{{14=14}}}
{{{highlight(x=13)}}} is valid.
Happy Calculating!!!
Good Luck on the SAT's!