document.write( "Question 560574: x^2+17x+42=0 \n" ); document.write( "
Algebra.Com's Answer #363964 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B17x%2B42=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"x%5E2%2B17x%2B42\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=1\", \"B=17\", and \"C=42\"\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-%2817%29+%2B-+sqrt%28+%2817%29%5E2-4%281%29%2842%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=17\", and \"C=42\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-17+%2B-+sqrt%28+289-4%281%29%2842%29+%29%29%2F%282%281%29%29\" Square \"17\" to get \"289\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-17+%2B-+sqrt%28+289-168+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%2842%29\" to get \"168\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-17+%2B-+sqrt%28+121+%29%29%2F%282%281%29%29\" Subtract \"168\" from \"289\" to get \"121\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-17+%2B-+sqrt%28+121+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-17+%2B-+11%29%2F%282%29\" Take the square root of \"121\" to get \"11\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-17+%2B+11%29%2F%282%29\" or \"x+=+%28-17+-+11%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\" or \"x+=++%28-28%29%2F%282%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+-3\" or \"x+=+-14\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+-3\" or \"x+=+-14\" \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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