document.write( "Question 390232: can you help me solve this:
\n" ); document.write( "In a system of axes consider the points A(-1,0) B(2,0) and M(x,y)
\n" ); document.write( "such that x^2-x-2+y^2=0
\n" ); document.write( "how can i find M ?? \n" ); document.write( "

Algebra.Com's Answer #276656 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!
can you help me solve this:
\n" ); document.write( "In a system of axes consider the points A(-1,0) B(2,0) and M(x,y)
\n" ); document.write( "such that x²-x-2+y²=0
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document.write( "Here are those points plotted:\r\n" );
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\n" ); document.write( "how can i find M ??
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document.write( "x² - x - 2 + y² = 0\r\n" );
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document.write( "x² - x + y² = 2\r\n" );
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document.write( "x² - x +  + y² = 2 + \r\n" );
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document.write( "(x - )² + (y - 0)² = \r\n" );
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document.write( "So this is a circle with center (h,k) = (, 0) and r =  =  \r\n" );
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document.write( "We draw that circle:\r\n" );
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document.write( "M(x,y) is any point on that green circle, including the two given points.\r\n" );
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document.write( "There are an infinite number of solutions because there are an infinite \r\n" );
document.write( "number of points on the circle.\r\n" );
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document.write( "Here are 4 possible solutions for M(x,y)\r\n" );
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document.write( "M(0,)\r\n" );
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document.write( "M(0,-)\r\n" );
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document.write( "M(1,)\r\n" );
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document.write( "M(1,-)\r\n" );
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document.write( "They are all on the circle.  I'll plot them in red:\r\n" );
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document.write( "But realize that there are infinitely many solutions for M(x,y) since there\r\n" );
document.write( "are infinitely many points on the green circle besides those 4 plotted\r\n" );
document.write( "in red above.\r\n" );
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document.write( "Edwin

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