document.write( "Question 254013: \"+x%5E2-6x%2B7=0+\"
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Algebra.Com's Answer #186347 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-6x%2B7=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"x%5E2-6x%2B7\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=1\", \"B=-6\", and \"C=7\"\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-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%281%29%287%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=-6\", and \"C=7\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%281%29%287%29+%29%29%2F%282%281%29%29\" Negate \"-6\" to get \"6\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+36-4%281%29%287%29+%29%29%2F%282%281%29%29\" Square \"-6\" to get \"36\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+36-28+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%287%29\" to get \"28\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+8+%29%29%2F%282%281%29%29\" Subtract \"28\" from \"36\" to get \"8\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+8+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+2%2Asqrt%282%29%29%2F%282%29\" Simplify the square root (note: If you need help with simplifying square roots, check out this solver) \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286%29%2F%282%29+%2B-+%282%2Asqrt%282%29%29%2F%282%29\" Break up the fraction. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+3+%2B-+sqrt%282%29\" Reduce. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+3%2Bsqrt%282%29\" or \"x+=+3-sqrt%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+3%2Bsqrt%282%29\" or \"x+=+3-sqrt%282%29\" \r
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\n" ); document.write( "\n" ); document.write( "which approximate to \"x=4.414\" or \"x=1.586\"
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