document.write( "Question 315345: Can someone please help?\r
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Algebra.Com's Answer #225649 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\"3x%5E2%2B8x-2=0\"
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document.write( "\"a=3\", \"b=8\", \"c=-2\"\r\n" );
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document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r\n" );
document.write( "\"x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A3%2A%28-2%29+%29%29%2F%282%2A3%29+\"\r\n" );
document.write( "\"x+=+%28-8+%2B-+sqrt%28+64%2B24+%29%29%2F6+\"\r\n" );
document.write( "\"x+=+%28-8+%2B-+sqrt%2888+%29%29%2F6+\"\r\n" );
document.write( "\"x+=+%28-8+%2B-+sqrt%284%2A22+%29%29%2F6+\"\r\n" );
document.write( "\"x+=+%28-8+%2B-+2%2Asqrt%2822+%29%29%2F6+\"\r\n" );
document.write( "\"x+=+%282%28-4+%2B-+sqrt%2822+%29%29%29%2F6+\"\r\n" );
document.write( "\"x+=+%28-4+%2B-+sqrt%2822+%29%29%2F3+\"\r\n" );
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\n" ); document.write( "2. Solve using completing the square
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document.write( "\"3x%5E2%2B8x-2=0\"\r\n" );
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document.write( "Get the constant term on the right and only x-terms on the left\r\n" );
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document.write( "\"3x%5E2%2B8x=2\"\r\n" );
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document.write( "Divide through by 3\r\n" );
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document.write( "\"x%5E2%2B%288%2F3%29x=2%2F3\"\r\n" );
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document.write( "Multiply the coefficient of x by \"1%2F2\":  \"%288%2F3%29%281%2F2%29=8%2F6=4%2F3\"\r\n" );
document.write( "Square that value:  \"%284%2F3%29%5E2=16%2F9\"\r\n" );
document.write( "Add that value to both sides:\r\n" );
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document.write( "\"x%5E2%2B%288%2F3%29x%2B16%2F9=2%2F3%2B16%2F9\"\r\n" );
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document.write( "Factor the left side: \"%28x%2B4%2F3%29%28x%2B4%2F3%29\" or \"%28x%2B4%2F3%29%5E2\"\r\n" );
document.write( "Combine fractions on the right side: \"2%2F3%2B16%2F9=%282%2A3%29%2F%283%2A3%29%2B16%2F9=6%2F9%2B16%2F9=22%2F9\"\r\n" );
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document.write( "\"%28x%2B4%2F3%29%5E2=22%2F9\"\r\n" );
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document.write( "Take square roots of both sides:\r\n" );
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document.write( "\"x%2B4%2F3=%22%22%2B-sqrt%2822%2F9%29\"\r\n" );
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document.write( "\"x%2B4%2F3=%22%22%2B-sqrt%2822%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%2822%29%2F3\"\r\n" );
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document.write( "\"x=%28-4%2B-sqrt%2822%29%29%2F3\"\r\n" );
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\n" ); document.write( "3. Tell which method you prefer and why
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document.write( "The quadratic formula because it's usually easier.\r\n" );
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document.write( "Edwin
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