document.write( "Question 60108: How do you solve these problems by using the
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document.write( "quadratic formula x² = 6x - 4 and
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document.write( "x² + 16x + 60 = 5 \n" );
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Algebra.Com's Answer #41277 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! How do you solve these problems by using the \r\n" ); document.write( "quadratic formula x² = 6x - 4 and \r\n" ); document.write( "x² + 16x + 60 = 5\r\n" ); document.write( "\r\n" ); document.write( " x² = 6x - 4\r\n" ); document.write( "\r\n" ); document.write( "Get 0 on the right by adding -6x + 4 to both sides\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x² - 6x + 4 = 0\r\n" ); document.write( "\r\n" ); document.write( "Use the quadratic formula:\r\n" ); document.write( " ______ \r\n" ); document.write( " -b ± Öb²-4ac\r\n" ); document.write( " x = —————————————\r\n" ); document.write( " 2a \r\n" ); document.write( "\r\n" ); document.write( "where a = 1; b = -6; c = 4\r\n" ); document.write( "\r\n" ); document.write( " _____________ \r\n" ); document.write( " -(-6) ± Ö(-6)²-4(1)(4)\r\n" ); document.write( " x = ————————————————————————\r\n" ); document.write( " 2(1) \r\n" ); document.write( " _____ \r\n" ); document.write( " 6 ± Ö36-16\r\n" ); document.write( " x = ————————————\r\n" ); document.write( " 2\r\n" ); document.write( "\r\n" ); document.write( " __ \r\n" ); document.write( " 6 ± Ö20\r\n" ); document.write( " x = —————————\r\n" ); document.write( " 2\r\n" ); document.write( "\r\n" ); document.write( " ___ \r\n" ); document.write( " 6 ± Ö4·5\r\n" ); document.write( " x = ——————————\r\n" ); document.write( " 2 \r\n" ); document.write( "\r\n" ); document.write( " _\r\n" ); document.write( " 6 ± 2Ö5\r\n" ); document.write( " x = —————————\r\n" ); document.write( " 2\r\n" ); document.write( "\r\n" ); document.write( " _\r\n" ); document.write( " 6 2Ö5\r\n" ); document.write( " x = ——— ± —————\r\n" ); document.write( " 2 2\r\n" ); document.write( " _\r\n" ); document.write( " x = 3 ± Ö5 \r\n" ); document.write( " _\r\n" ); document.write( "Using the +, x = 3 + Ö5, which\r\n" ); document.write( "is one solution and equals about 5.236067977\r\n" ); document.write( " _ \r\n" ); document.write( "Using the -, x = 3 - Ö5, which\r\n" ); document.write( "is the other solution and equals about\r\n" ); document.write( ".583592135\r\n" ); document.write( "\r\n" ); document.write( "==============================\r\n" ); document.write( "\r\n" ); document.write( " x² + 16x + 60 = 5\r\n" ); document.write( " \r\n" ); document.write( "Get 0 on the right by adding -5 to both sides\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x² + 16x + 55 = 0\r\n" ); document.write( "\r\n" ); document.write( "Use the quadratic formula:\r\n" ); document.write( " ______ \r\n" ); document.write( " -b ± Öb²-4ac\r\n" ); document.write( " x = —————————————\r\n" ); document.write( " 2a \r\n" ); document.write( "\r\n" ); document.write( "where a = 1; b = 16; c = 55\r\n" ); document.write( "\r\n" ); document.write( " ______________ \r\n" ); document.write( " -(16) ± Ö(16)²-4(1)(55)\r\n" ); document.write( " x = ——————————————————————————\r\n" ); document.write( " 2(1) \r\n" ); document.write( "\r\n" ); document.write( " _______ \r\n" ); document.write( " -16 ± Ö256-220\r\n" ); document.write( " x = ————————————————\r\n" ); document.write( " 2\r\n" ); document.write( "\r\n" ); document.write( " __ \r\n" ); document.write( " -16 ± Ö36\r\n" ); document.write( " x = —————————————\r\n" ); document.write( " 2\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " -16 ± 6\r\n" ); document.write( " x = —————————\r\n" ); document.write( " 2 \r\n" ); document.write( "\r\n" ); document.write( " -16 6\r\n" ); document.write( " x = ———— ± ———\r\n" ); document.write( " 2 2 \r\n" ); document.write( "\r\n" ); document.write( " x = -8 ± 3\r\n" ); document.write( "\r\n" ); document.write( "Using the +, x = -8 + 3, which\r\n" ); document.write( "is one solution and equals -5\r\n" ); document.write( "\r\n" ); document.write( "Using the -, x = -8 - 3, which\r\n" ); document.write( "is the other solution and equals -11\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |