document.write( "Question 57204: For the equation x-2 times the square root of x = 0
\n" ); document.write( "Solve for all values of x that satisfies the equation.
\n" ); document.write( "Please break it down for me step by step. I am having such a hard time with this. \n" ); document.write( "

Algebra.Com's Answer #38923 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x-2%29%2Asqrt%28x%29=0\"$
\n" ); document.write( "By the zero product property $\"x-2=0\"$ and $\"sqrt%28x%29=0\"$
\n" ); document.write( " $\"x-2%2B2=0%2B2\"$ and $\"%28sqrt%28x%29%29%5E2=%280%29%5E2\"$
\n" ); document.write( " $\"highlight%28x=2%29\"$ and $\"highlight%28x=0%29\"$
\n" ); document.write( "Check for extraneous solutions (false solutions):
\n" ); document.write( "for 2:
\n" ); document.write( " $\"%282-2%29%2Asqrt%282%29=0\"$
\n" ); document.write( " $\"0%2Asqrt%282%29=0\"$
\n" ); document.write( " $\"0=0\"$ 2 checks out.
\n" ); document.write( "for 0:
\n" ); document.write( " $\"%280-2%29%2Asqrt%280%29=0\"$
\n" ); document.write( " $\"-2%2A0=0\"$
\n" ); document.write( " $\"0=0\"$ 0 checks out also.
\n" ); document.write( "Happy Calculating!!!
\n" ); document.write( " \n" ); document.write( "

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