document.write( "Question 72920: 5) For the equation x-sqrt x=0, and perform the following:
\n" ); document.write( "a) Solve for all values of x that satisfies the equation.
\n" ); document.write( "Answer: \r
\n" ); document.write( "\n" ); document.write( "Show work in this space \r
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\n" ); document.write( "\n" ); document.write( "b) Graph the functions y=x, and y=sqrt x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.\r
\n" ); document.write( "\n" ); document.write( "Graph \r
\n" ); document.write( "\n" ); document.write( "c) How does the graph relate to part a?
\n" ); document.write( "Answer:
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Algebra.Com's Answer #52158 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
5) For the equation x-sqrt x=0, and perform the following:
\n" ); document.write( "a) Solve for all values of x that satisfies the equation.
\n" ); document.write( "Answer:
\n" ); document.write( "x=0 or x=1
\n" ); document.write( ":
\n" ); document.write( "Show work in this space
\n" ); document.write( "\"x-sqrt%28x%29=0\"
\n" ); document.write( "\"x-sqrt%28x%29%2Bsqrt%28x%29=0%2Bsqrt%28x%29\"
\n" ); document.write( "\"x=sqrt%28x%29\"
\n" ); document.write( "\"%28x%29%5E2=%28sqrt%28x%29%29%5E2\"
\n" ); document.write( "\"x%5E2=x\"
\n" ); document.write( "\"x%5E2-x=x-x\"
\n" ); document.write( "\"x%5E2-x=0\"
\n" ); document.write( "\"x%28x-1%29=0\"
\n" ); document.write( "x=0 or x-1=0
\n" ); document.write( "x=0 or x-1+1=0+1
\n" ); document.write( "x=0 or x=1
\n" ); document.write( "Check for extraneous solutions:
\n" ); document.write( "for x=0
\n" ); document.write( "\"%280%29-sqrt%280%29=0\"
\n" ); document.write( "\"0-0=0\" True, x=0 is valid
\n" ); document.write( "for x=1
\n" ); document.write( "\"%281%29-sqrt%281%29=0\"
\n" ); document.write( "\"1-1=0\" True, x=1 is valid.
\n" ); document.write( ":\r
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\n" ); document.write( "\n" ); document.write( "b) Graph the functions y=x, and y=sqrt x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.\r
\n" ); document.write( "\n" ); document.write( "Graph
\n" ); document.write( "\"graph%28300%2C200%2C-3%2C5%2C-3%2C5%2Cx%2Csqrt%28x%29%29\"
\n" ); document.write( "They intersect at (0,0) and (1,1)
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\n" ); document.write( "c) How does the graph relate to part a?
\n" ); document.write( "Answer:
\n" ); document.write( "The x values of their points of intersection are the solutions to the equation in question.
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\n" ); document.write( "Happy Calculating!!!!
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