Question 900118
{{{x-sqrt(x)-2=0}}}
{{{x-2=sqrt(x)}}}
{{{(x-2)^2=x}}}
{{{x^2-4x+4=x}}}
{{{x^2-5x+4=0}}}
{{{(x-4)(x-1)=0}}}
Two solutions:
{{{x-4=0}}}
{{{x=4}}}
and
{{{x-1=0}}}
{{{x=1}}}
Verify that these are really solutions.
{{{x-sqrt(x)-2=0}}}
{{{4-sqrt(4)-2=0}}}
{{{4-2-2=0}}}
{{{0=0}}}
True, good solution.
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{{{1-sqrt(1)-2=0}}}
{{{1-1-2=0}}}
{{{-2=0}}}
False, not a good solution.
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{{{highlight_green(x=4)}}}