document.write( "Question 157136: Solve by completing the square 3x^2 – 8x + 2 = 0 \n" ); document.write( "
Algebra.Com's Answer #115824 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Solve by completing the square \"3x%5E2+%96+8x+%2B+2+=+0\"
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document.write( "\"3x%5E2+%96+8x+%2B+2+=+0\"\r\n" );
document.write( "Add \"-2\" to both sides:\r\n" );
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document.write( "\"3x%5E2+-+8x+=+-2\"\r\n" );
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document.write( "Divide through by coefficient of \"x%5E2\" which is 3\r\n" );
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document.write( "\"x%5E2+-+8%2F3\"\"x+=+-2%2F3\"\r\n" );
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document.write( "To the side, multiply the coefficient of \"x\",\r\n" );
document.write( "which is \"-8%2F3\" by \"1%2F2\", getting \"-8%2F3\"*\"1%2F2=-4%2F3\" \r\n" );
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document.write( "Square \"-4%2F3\".  \"%28-4%2F3%29%5E2=16%2F9\". Add \"16%2F9\" to both\r\n" );
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document.write( "\"x%5E2+-+8%2F3\"\"x+%2B16%2F9=+-2%2F3%2B16%2F9\"\r\n" );
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document.write( "Factor the left side. Get \"LCD=9\" on the right:\r\n" );
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document.write( "\"%28x-4%2F3%29%28x-4%2F3%29=+-6%2F9%2B16%2F9\"\r\n" );
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document.write( "Write left side as a perfect square:\r\n" );
document.write( "Conbine fractions on the right:\r\n" );
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document.write( "\"%28x-4%2F3%29%5E2=+10%2F9\"\r\n" );
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document.write( "Use the principle of square roots:\r\n" );
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document.write( "\"sqrt%28%28x-4%2F3%29%5E2%29\"\"sqrt%2810%2F9%29\"\r\n" );
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document.write( "\"x-4%2F3\"\"sqrt%2810%29%2F3\"\r\n" );
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document.write( "Add \"4%2F3\" to both sides:\r\n" );
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document.write( "\"x=4%2F3%2B-sqrt%2810%29%2F3\"\r\n" );
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document.write( "So the two solutions are\r\n" );
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document.write( "\"4%2F3%2Bsqrt%2810%29%2F3\" and \"4%2F3-sqrt%2810%29%2F3\"\r\n" );
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document.write( "Or if you prefer you can write them over their\r\n" );
document.write( "common denominator:\r\n" );
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document.write( "\"%284%2Bsqrt%2810%29%29%2F3\" and \"%284-sqrt%2810%29%29%2F3\"\r\n" );
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document.write( "Edwin
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