Question 904575
{{{sqrt(2x-3)+x=3}}}
{{{sqrt(2x-3)=3-x}}}
{{{2x-3=(3-x)^2}}}
{{{2x-3=9-6x+x^2}}}
{{{x^2-8x+12=0}}}
{{{(x-2)(x-6)=0}}}
Two solutions:
{{{x-2=0}}}
{{{x=2}}}
Verify the solution:
{{{sqrt(2(2)-3)+2=3}}}
{{{sqrt(4-3)+2=3}}}
{{{sqrt(1)+2=3}}}
{{{1+2=3}}}
{{{3=3}}}
True. Good solution.
.
.
{{{x-6=0}}}
{{{x=6}}}
Verify the solution:
{{{sqrt(2(6)-3)+6=3}}}
{{{sqrt(12-3)+6=3}}}
{{{sqrt(9)+6=3}}}
{{{3+6=3}}}
{{{9=3}}}
False. Not a good solution.
.
.
.
{{{highlight_green(x=2)}}}