document.write( "Question 170017: where do I begin with this problem?
\n" ); document.write( "xsq+3x=4
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Algebra.Com's Answer #125477 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"x%5E2%2B3x=4\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B3x-4=0\" Subtract 4 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \"ax%5E2%2Bbx%2Bc\" where \"a=1\", \"b=3\", and \"c=-4\"\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-%283%29+%2B-+sqrt%28+%283%29%5E2-4%281%29%28-4%29+%29%29%2F%282%281%29%29\" Plug in \"a=1\", \"b=3\", and \"c=-4\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9-4%281%29%28-4%29+%29%29%2F%282%281%29%29\" Square \"3\" to get \"9\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9--16+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%28-4%29\" to get \"-16\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9%2B16+%29%29%2F%282%281%29%29\" Rewrite \"sqrt%289--16%29\" as \"sqrt%289%2B16%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+25+%29%29%2F%282%281%29%29\" Add \"9\" to \"16\" to get \"25\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+25+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+5%29%2F%282%29\" Take the square root of \"25\" to get \"5\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B+5%29%2F%282%29\" or \"x+=+%28-3+-+5%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282%29%2F%282%29\" or \"x+=++%28-8%29%2F%282%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+1\" or \"x+=+-4\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the answers are \"x+=+1\" or \"x+=+-4\" \r
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