document.write( "Question 600343: What is 2m^2+9m+7=3 \n" ); document.write( "
Algebra.Com's Answer #379259 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"2m%5E2%2B9m%2B7=3\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"2m%5E2%2B9m%2B7-3=0\" Subtract 3 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"2m%5E2%2B9m%2B4=0\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \"am%5E2%2Bbm%2Bc\" where \"a=2\", \"b=9\", and \"c=4\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for m\r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%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( "\"m+=+%28-%289%29+%2B-+sqrt%28+%289%29%5E2-4%282%29%284%29+%29%29%2F%282%282%29%29\" Plug in \"a=2\", \"b=9\", and \"c=4\"\r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%28-9+%2B-+sqrt%28+81-4%282%29%284%29+%29%29%2F%282%282%29%29\" Square \"9\" to get \"81\". \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%28-9+%2B-+sqrt%28+81-32+%29%29%2F%282%282%29%29\" Multiply \"4%282%29%284%29\" to get \"32\"\r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%28-9+%2B-+sqrt%28+49+%29%29%2F%282%282%29%29\" Subtract \"32\" from \"81\" to get \"49\"\r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%28-9+%2B-+sqrt%28+49+%29%29%2F%284%29\" Multiply \"2\" and \"2\" to get \"4\". \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%28-9+%2B-+7%29%2F%284%29\" Take the square root of \"49\" to get \"7\". \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%28-9+%2B+7%29%2F%284%29\" or \"m+=+%28-9+-+7%29%2F%284%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%28-2%29%2F%284%29\" or \"m+=++%28-16%29%2F%284%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+-1%2F2\" or \"m+=+-4\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the answers are \"m+=+-1%2F2\" or \"m+=+-4\" \r
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