document.write( "Question 77062: For the equation x - 2SQRT of X=0 , perform the following:
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\n" ); document.write( "\n" ); document.write( "b) Graph the functions y = x and y=2 SQRT of X on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
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Algebra.Com's Answer #55235 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "For the equation  , \r\n" );
document.write( "perform the following:\r\n" );
document.write( "a) Solve for all values of x that \r\n" );
document.write( "satisfies the equation. \r\n" );
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document.write( "Isolate the radical term by adding  to both sides\r\n" );
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document.write( "Square both sides\r\n" );
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document.write( "Get 0 on the right\r\n" );
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document.write( "Factor x out on the left\r\n" );
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document.write( "Use the zero-factor property\r\n" );
document.write( "and set each of the factors\r\n" );
document.write( "x and x-4 equal to 0.\r\n" );
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document.write( " gives answer as 0\r\n" );
document.write( " gives another answer as 4\r\n" );
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document.write( "We must check these in the original\r\n" );
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document.write( "So 0 checks\r\n" );
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document.write( "(((0=0)))\r\n" );
document.write( "So 4 checks too.\r\n" );
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document.write( "b) Graph the functions y = x and \r\n" );
document.write( "y=2 SQRT of X on the same graph (by plotting \r\n" );
document.write( "points if necessary). Show the points of \r\n" );
document.write( "intersection of these two graphs.\r\n" );
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document.write( "The idea here is to take the equation\r\n" );
document.write( " and set y = to each side.\r\n" );
document.write( "Then graph the two equations. Then the two \r\n" );
document.write( "values of y should be equal when the two sides \r\n" );
document.write( "of  are equal, and that\r\n" );
document.write( "will be where the graphs intersect.\r\n" );
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document.write( "Some points on  are \r\n" );
document.write( "(-2,-2), (-1,-1) (2,2) (5,5)\r\n" );
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document.write( "Some points on  are \r\n" );
document.write( "(.5,1.4), (1,2), (3,3.5), (5,4.5)\r\n" );
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document.write( "So we see that the blue curve and the green \r\n" );
document.write( "line intersect at (0,0) and (4,4) and the \r\n" );
document.write( "x-values are 0 and 4 at those points, which \r\n" );
document.write( "correspond to the algebraic solution for x \r\n" );
document.write( "above.\r\n" );
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document.write( "Edwin

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