document.write( "Question 1044246: Complete the square and write the equation of the circle into standard form.\r
\n" ); document.write( "\n" ); document.write( "5x^2-9x+5y^2-8y=0\r
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Algebra.Com's Answer #659513 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "We need to get it in the standard form, which is\r\n" );
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document.write( "where (h,k) is the center and r is the radius.\r\n" );
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document.write( "Divide through by the common coefficient of x² and y²\r\n" );
document.write( "which is 5:\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "Put parentheses around the two terms in x and around the\r\n" );
document.write( "two terms in y\r\n" );
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document.write( "To complete the squares, we need to add a number to the \r\n" );
document.write( "end of each parentheses, and to the right side:\r\n" );
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document.write( "so we put a blank where we need to add numbers.\r\n" );
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document.write( "To complete the square in the first parentheses:\r\n" );
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document.write( "1.  Multiply the coefficient of x by :\r\n" );
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document.write( "       \r\n" );
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document.write( "2.  Square that result:\r\n" );
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document.write( "       \r\n" );
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document.write( "3.  Put that where the first blanks are on the left and right sides:\r\n" );
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document.write( "     \r\n" );
document.write( "To complete the square in the second parentheses, follow\r\n" );
document.write( "the same procedure:\r\n" );
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document.write( "1.  Multiply the coefficient of y by :\r\n" );
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document.write( "2.  Square that result:\r\n" );
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document.write( "        [Don't bother to reduce fractions yet]\r\n" );
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document.write( "3.  Put that where the remaining blanks are on the left and right sides:\r\n" );
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document.write( "The two parentheses factor into squares of binomials,\r\n" );
document.write( "using the square roots of the numbers added (which are\r\n" );
document.write( "actually the results of the two step 1's).  Combine the\r\n" );
document.write( "numbers on the right side \r\n" );
document.write( "[Again don't bother to reduce fractions yet]\r\n" );
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document.write( "Now you can reduce the 8/10 to 4/5:\r\n" );
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document.write( "Compare to: \r\n" );
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document.write( "where (h,k) is the center and r is the radius.\r\n" );
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document.write( "And so  is the center\r\n" );
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document.write( "and  is the radius.\r\n" );
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document.write( "Edwin

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