document.write( "Question 171868: how do you use the quadratic formula for 2a^2 - 46a + 252 = 0? please round to the nearest hundreth \n" ); document.write( "
Algebra.Com's Answer #127004 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"2a%5E2-46a%2B252=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \"aa%5E2%2Bba%2Bc\" where \"a=2\", \"b=-46\", and \"c=252\"\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-%28-46%29+%2B-+sqrt%28+%28-46%29%5E2-4%282%29%28252%29+%29%29%2F%282%282%29%29\" Plug in \"a=2\", \"b=-46\", and \"c=252\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2846+%2B-+sqrt%28+%28-46%29%5E2-4%282%29%28252%29+%29%29%2F%282%282%29%29\" Negate \"-46\" to get \"46\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2846+%2B-+sqrt%28+2116-4%282%29%28252%29+%29%29%2F%282%282%29%29\" Square \"-46\" to get \"2116\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2846+%2B-+sqrt%28+2116-2016+%29%29%2F%282%282%29%29\" Multiply \"4%282%29%28252%29\" to get \"2016\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2846+%2B-+sqrt%28+100+%29%29%2F%282%282%29%29\" Subtract \"2016\" from \"2116\" to get \"100\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2846+%2B-+sqrt%28+100+%29%29%2F%284%29\" Multiply \"2\" and \"2\" to get \"4\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2846+%2B-+10%29%2F%284%29\" Take the square root of \"100\" to get \"10\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2846+%2B+10%29%2F%284%29\" or \"a+=+%2846+-+10%29%2F%284%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%2856%29%2F%284%29\" or \"a+=++%2836%29%2F%284%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+14\" or \"a+=+9\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the answers are \"a+=+14\" or \"a+=+9\" \r
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