document.write( "Question 264648: Solve by quadratic formula and simplify\r
\n" ); document.write( "\n" ); document.write( "\"7x%5E2+-x-6=0\"\r
\n" ); document.write( "\n" ); document.write( "Do I just factor this problem now since it is already in standard form? I am not sure
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Algebra.Com's Answer #194803 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"7x%5E2-x-6=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"7x%5E2-x-6\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=7\", \"B=-1\", and \"C=-6\"\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-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%287%29%28-6%29+%29%29%2F%282%287%29%29\" Plug in \"A=7\", \"B=-1\", and \"C=-6\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28+%28-1%29%5E2-4%287%29%28-6%29+%29%29%2F%282%287%29%29\" Negate \"-1\" to get \"1\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28+1-4%287%29%28-6%29+%29%29%2F%282%287%29%29\" Square \"-1\" to get \"1\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28+1--168+%29%29%2F%282%287%29%29\" Multiply \"4%287%29%28-6%29\" to get \"-168\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28+1%2B168+%29%29%2F%282%287%29%29\" Rewrite \"sqrt%281--168%29\" as \"sqrt%281%2B168%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28+169+%29%29%2F%282%287%29%29\" Add \"1\" to \"168\" to get \"169\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28+169+%29%29%2F%2814%29\" Multiply \"2\" and \"7\" to get \"14\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B-+13%29%2F%2814%29\" Take the square root of \"169\" to get \"13\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%281+%2B+13%29%2F%2814%29\" or \"x+=+%281+-+13%29%2F%2814%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2814%29%2F%2814%29\" or \"x+=++%28-12%29%2F%2814%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+1\" or \"x+=+-6%2F7\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+1\" or \"x+=+-6%2F7\" \r
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