document.write( "Question 878849: Hello im stuck in this problem
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\n" ); document.write( "[6^(1/2)]x^2+2x-[(3/2)^(1/2)]=0
\n" ); document.write( "The six is squareooted by itself with the x^2 outside the squareroot, and the 3/2 are inside the squareroot
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Algebra.Com's Answer #530331 by AnlytcPhil(1810)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28sqrt%286%29%29x%5E2%2B2x-sqrt%283%2F2%29\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "Simplify \"sqrt%283%2F2%29%29\"\"%22%22=%22%22\"\"sqrt%28%283%2A2%29%2F%282%2A2%29%29\"\"%22%22=%22%22\"\"sqrt%286%29%2Fsqrt%284%29\"\"%22%22=%22%22\"\"sqrt%286%29%2F2\"\r\n" );
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document.write( "\"%28sqrt%286%29%29x%5E2%2B2x-sqrt%286%29%2F2\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "Clear the fraction by multiplying through by 2\r\n" );
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document.write( "\"%282sqrt%286%29%29x%5E2%2B4x-sqrt%286%29\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "Use the quadratic formula:\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r\n" );
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document.write( "with\r\n" );
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document.write( "\"a=2sqrt%286%29\", \"b=4\", \"c=-sqrt%286%29\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%28-4+%2B-+sqrt%2816%2B48%29%29%2F%284%2Asqrt%286%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%28-4+%2B-+sqrt%2864%29%29%2F%284%2Asqrt%286%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%28-4+%2B-+8%29%2F%284%2Asqrt%286%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%28-4+%2B-+8%29%2F%284%2Asqrt%286%29%29+\"\r\n" );
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document.write( "Using the +\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%28-4+%2B+8%29%2F%284sqrt%286%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"4%2F%284%2Asqrt%286%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"1%2F%28sqrt%286%29%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%281%2F%28sqrt%286%29%29%29%28sqrt%286%29%2Fsqrt%286%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"sqrt%286%29%2F6\"\r\n" );
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document.write( "Using the -\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%28-4+-+8%29%2F%284sqrt%286%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"-12%2F%284%2Asqrt%286%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"-3%2F%28sqrt%286%29%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%28-3%2F%28sqrt%286%29%29%29%28sqrt%286%29%2Fsqrt%286%29%29+\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"-3sqrt%286%29%2F6\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"-sqrt%286%29%2F2\"\r\n" );
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document.write( "Two solutions:  \"sqrt%286%29%2F6\", \"-sqrt%286%29%2F2\"\r\n" );
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document.write( "Edwin
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