document.write( "Question 236636: What is 4a^2-28a=-49? \n" ); document.write( "
Algebra.Com's Answer #174135 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"4a%5E2-28a=-49\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"4a%5E2-28a%2B49=0\" Add 49 to both sides.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"4a%5E2-28a%2B49\" is in the form of \"Aa%5E2%2BBa%2BC\" where \"A=4\", \"B=-28\", and \"C=49\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"a\":\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%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( "\"a+=+%28-%28-28%29+%2B-+sqrt%28+%28-28%29%5E2-4%284%29%2849%29+%29%29%2F%282%284%29%29\" Plug in \"A=4\", \"B=-28\", and \"C=49\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2828+%2B-+sqrt%28+%28-28%29%5E2-4%284%29%2849%29+%29%29%2F%282%284%29%29\" Negate \"-28\" to get \"28\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2828+%2B-+sqrt%28+784-4%284%29%2849%29+%29%29%2F%282%284%29%29\" Square \"-28\" to get \"784\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2828+%2B-+sqrt%28+784-784+%29%29%2F%282%284%29%29\" Multiply \"4%284%29%2849%29\" to get \"784\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2828+%2B-+sqrt%28+0+%29%29%2F%282%284%29%29\" Subtract \"784\" from \"784\" to get \"0\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2828+%2B-+sqrt%28+0+%29%29%2F%288%29\" Multiply \"2\" and \"4\" to get \"8\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2828+%2B-+0%29%2F%288%29\" Take the square root of \"0\" to get \"0\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2828+%2B+0%29%2F%288%29\" or \"a+=+%2828+-+0%29%2F%288%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2828%29%2F%288%29\" or \"a+=++%2828%29%2F%288%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+7%2F2\" or \"a+=+7%2F2\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"a+=+7%2F2\"
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