Question 137784
{{{sqrt(2x-3)=3-x}}}
Square both sides.
{{{2x-3=(3-x)^2}}}
{{{2x-3=9-6x+x^2}}}
{{{x+2-8x+12=0}}}
{{{(x-6)(x-2)=0}}}
x=2 and x=6.
Check your answers.
x=2
{{{sqrt(2x-3)=3-x}}}
{{{sqrt(2(2)-3)=3-2}}}
{{{sqrt(4-3)=1}}}
{{{sqrt(1)=1}}}
{{{1=1}}}
True statement.
Good answer.
x=6
{{{sqrt(2x-3)=3-x}}}
{{{sqrt(2(6)-3)=3-6}}}
{{{sqrt(12-3)=-3}}}
{{{sqrt(9)=-3}}}
{{{-3=-3}}}
Remember that both {{{(-3)^2=9}}} and {{{(3)^2=9}}}.
True statement.
Good answer.