document.write( "Question 896463: if x²+y²+z²-64/xy-yz-zx=-2 and x+y=3z,than value of z is? \n" ); document.write( "
Algebra.Com's Answer #543626 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28x%5E2%2By%5E2%2Bz%5E2-64%29%2F%28xy-yz-zx%29\"\"%22%22=%22%22\"\"-2\"\r\n" );
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document.write( "\"x%5E2%2By%5E2%2Bz%5E2-64\"\"%22%22=%22%22\"\"-2%28xy-yz-zx%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2%2By%5E2%2Bz%5E2-64\"\"%22%22=%22%22\"\"-2xy%2B2yz%2B2zx\"\r\n" );
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document.write( "Since \"x%2By=3z\", \"y=3z-x\".  Substituting:\r\n" );
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document.write( "\"x%5E2%2B%283z-x%29%5E2%2Bz%5E2-64\"\"%22%22=%22%22\"\"-2x%283z-x%29%2B2%283z-x%29z%2B2zx\"\r\n" );
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document.write( "\"x%5E2%2B%289z%5E2-6xz%2Bx%5E2%29%2Bz%5E2-64\"\"%22%22=%22%22\"\"-6xz%2B2x%5E2%2B%286z-2x%29z%2B2zx\"\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2%2B9z%5E2-6xz%2Bx%5E2%2Bz%5E2-64\"\"%22%22=%22%22\"\"-6xz%2B2x%5E2%2B6z%5E2-2zx%2B2zx\"\r\n" );
document.write( "\r\n" );
document.write( "\"2x%5E2-6xz%2B10z%5E2-64\"\"%22%22=%22%22\"\"2x%5E2-6xz%2B6z%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "\"10z%5E2-64\"\"%22%22=%22%22\"\"6z%5E2\"\r\n" );
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document.write( "\"4z%5E2-64\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "Divide through by 4\r\n" );
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document.write( "\"z%5E2-16\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "Fctor\r\n" );
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document.write( "\"%28z-4%29%28z%2B4%29\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "z-4 = 0;  z+4 = 0\r\n" );
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document.write( "  z = 4;    z = -4\r\n" );
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document.write( "Edwin

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