document.write( "Question 1179452: Complete the square and write the equation in standard form. Then give the center and radius of the circle.\r
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Algebra.Com's Answer #809010 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "x2 + y2 + 6x + 4y = 3\r\n" );
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document.write( "Get the x-terms next to each other.\r\n" );
document.write( "Get the y-terms next to each other.\r\n" );
document.write( "Skip a space after the x terms and after the y terms:\r\n" );
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document.write( "x2 + 6x     + y2 + 4y     = 3 \r\n" );
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document.write( "Complete the square out to the side or on scratch paper.\r\n" );
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document.write( "1. Multiply the coefficient of x by 1/2.   \"6%2Aexpr%281%2F2%29=3\"\r\n" );
document.write( "2. Square what you get.                    \"3%5E2=9\"\r\n" );
document.write( "3. Add that to the space after the x-terms on the left and also\r\n" );
document.write( "   add it to the right side.\r\n" );
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document.write( "x2 + 6x + 9 + y2 + 4y     = 3 + 9 \r\n" );
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document.write( "1. Multiply the coefficient of y by 1/2.   \"4%2Aexpr%281%2F2%29=2\"\r\n" );
document.write( "2. Square what you get.                    \"2%5E2=4\"\r\n" );
document.write( "3. Add that to the space after the y-terms on the left and also\r\n" );
document.write( "   add it to the right side.\r\n" );
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document.write( "x2 + 6x + 9 + y2 + 4y + 4 = 3 + 9 + 4\r\n" );
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document.write( "Factor the first three terms on the left side.\r\n" );
document.write( "Factor the last three terms on the left side.\r\n" );
document.write( "Combine the numbers on the right side.\r\n" );
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document.write( "(x + 3)(x + 3) + (y + 2)(y + 2) = 16\r\n" );
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document.write( "Notice that they factored as the same factor twice, so write\r\n" );
document.write( "them as squares:\r\n" );
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document.write( "(x + 3)2 + (y + 2)2 = 16\r\n" );
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document.write( "Compare that to what you should have memorized.\r\n" );
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document.write( "(x - h)2 + (y - k)2 = r2 where (h,k) is the center and r is the radius.\r\n" );
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document.write( "Set corresponding things equal to each other and solve\r\n" );
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document.write( "-h = +3        -k = +2       r2 = 16\r\n" );
document.write( " h = -3         k = -2        r = √16\r\n" );
document.write( "                              r = 4\r\n" );
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document.write( "Substitute for all letters except x and y\r\n" );
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document.write( "\"%28x%5E%22%22-%28-3%29%29%5E2%2B%28y%5E%22%22-%28-2%29%29=4%5E2\"\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "\"%28x%2B3%29%5E2%2B%28y%2B2%29%5E2=16\"\r\n" );
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document.write( "Center = (h,k) = (-3,-2),  radius = r = 4\r\n" );
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document.write( "Edwin
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