document.write( "Question 537375: Use the quadratic formula to solve the equation x^2+6x+25=0 \n" ); document.write( "
Algebra.Com's Answer #352844 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B6x%2B25=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"x%5E2%2B6x%2B25\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=1\", \"B=6\", and \"C=25\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"x\":\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\" Start with the quadratic formula\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%286%29+%2B-+sqrt%28+%286%29%5E2-4%281%29%2825%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=6\", and \"C=25\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-6+%2B-+sqrt%28+36-4%281%29%2825%29+%29%29%2F%282%281%29%29\" Square \"6\" to get \"36\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-6+%2B-+sqrt%28+36-100+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%2825%29\" to get \"100\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-6+%2B-+sqrt%28+-64+%29%29%2F%282%281%29%29\" Subtract \"100\" from \"36\" to get \"-64\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-6+%2B-+sqrt%28+-64+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-6+%2B-+8%2Ai%29%2F%282%29\" Take the square root of \"-64\" to get \"8%2Ai\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-6+%2B+8%2Ai%29%2F%282%29\" or \"x+=+%28-6+-+8%2Ai%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-6%29%2F%282%29+%2B+%288%2Ai%29%2F%282%29\" or \"x+=++%28-6%29%2F%282%29+-+%288%2Ai%29%2F%282%29\" Break up the fraction for each case. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+-3%2B4%2Ai\" or \"x+=++-3-4%2Ai\" Reduce. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+-3%2B4%2Ai\" or \"x+=+-3-4%2Ai\" \r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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\n" ); document.write( "\n" ); document.write( "Jim\r
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