document.write( "Question 262441: I have tried this question many time but was unsuccessful in getting the right answer :( Please help me!!
\n" ); document.write( "The solution set of the equation 2x^2-6x+3=0 is ??
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Algebra.Com's Answer #193348 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2-6x%2B3=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"2x%5E2-6x%2B3\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=2\", \"B=-6\", and \"C=3\"\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%282%29%283%29+%29%29%2F%282%282%29%29\" Plug in \"A=2\", \"B=-6\", and \"C=3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%282%29%283%29+%29%29%2F%282%282%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%282%29%283%29+%29%29%2F%282%282%29%29\" Square \"-6\" to get \"36\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+36-24+%29%29%2F%282%282%29%29\" Multiply \"4%282%29%283%29\" to get \"24\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+12+%29%29%2F%282%282%29%29\" Subtract \"24\" from \"36\" to get \"12\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+12+%29%29%2F%284%29\" Multiply \"2\" and \"2\" to get \"4\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+2%2Asqrt%283%29%29%2F%284%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%2B2%2Asqrt%283%29%29%2F%284%29\" or \"x+=+%286-2%2Asqrt%283%29%29%2F%284%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%283%2Bsqrt%283%29%29%2F%282%29\" or \"x+=+%283-sqrt%283%29%29%2F%282%29\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+%283%2Bsqrt%283%29%29%2F%282%29\" or \"x+=+%283-sqrt%283%29%29%2F%282%29\"
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