document.write( "Question 50867: please help.
\n" ); document.write( "Write the expression
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Algebra.Com's Answer #33898 by AnlytcPhil(1806)\"\" \"About 
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Write the expression \r\n" );
document.write( "9x^2-9x+1\r\n" );
document.write( "in the form a(x+b)^2+c, where a, b and c are real numbers\r\n" );
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document.write( "       9x² - 9x + 1\r\n" );
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document.write( "It's already arranged in descending order, so we first\r\n" );
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document.write( "1. Factor only the coefficient of x² out of only the first\r\n" );
document.write( "   two terms.  Use brackets instead of parentheses because\r\n" );
document.write( "   there are going to be some parentheses inside the\r\n" );
document.write( "   brackets:\r\n" );
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document.write( "       9[x² - x] + 1\r\n" );
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document.write( "2. To the side, \r\n" );
document.write( "   a, Multiply the coefficient of x in the brackets, which\r\n" );
document.write( "      is -1, by 1/2\r\n" );
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document.write( "                                           -1·1/2 = -1/2\r\n" );
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document.write( "   b.  Square this result:\r\n" );
document.write( "      \r\n" );
document.write( "                                           (-1/2)² = +1/4\r\n" );
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document.write( "3. Add and subtract this amount inside the brackets:\r\n" );
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document.write( "      9[x² - x + 1/4 - 1/4] + 1\r\n" );
document.write( "        \r\n" );
document.write( "4. Factor only the first three terms.\r\n" );
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document.write( "   9[(x - 1/2)(x - 1/2) - 1/4] + 1\r\n" );
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document.write( "   Write that parentheses only once squared\r\n" );
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document.write( "   9[(x - 1/2)² - 1/4] + 1\r\n" );
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document.write( "   Now I'll do some coloring:\r\n" );
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document.write( "   9[(x - 1/2)² - 1/4] + 1\r\n" );
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document.write( "5. Remove the brackets by distributing 9 first\r\n" );
document.write( "   into the blue thing, and then into the red\r\n" );
document.write( "   thing, leaving the entire blue thing intact.\r\n" );
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document.write( "    9(x - 1/2)² - 9/4 + 1\r\n" );
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document.write( "6. Add the two numbers on the right end by\r\n" );
document.write( "   getting the LCD and rewriting using the LCD:\r\n" );
document.write( "   \r\n" );
document.write( "   9(x - 1/2)² - 9/4 + 4/4\r\n" );
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document.write( "   9(x - 1/2)² - 5/4\r\n" );
document.write( "    \r\n" );
document.write( "That's it!\r\n" );
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document.write( "   a(x + b)² + c with a = 9, b = -1/2 and c = -5/4.\r\n" );
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document.write( "Edwin
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