document.write( "Question 1141270: if a, b belong to R+ such that
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Algebra.Com's Answer #761946 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
System 1:      \r\n" );
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document.write( "Let \"x=sqrt%28a%29\", \"x%5E2=a\",  \"y=sqrt%28b%29\", \"y%5E2=b\", then\r\n" );
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document.write( "\"system%28x%5E2%2Ax+%2B+y%5E2%2Ay+=+183%2C+%0D%0A+x%5E2%2Ay+%2B+y%5E2%2Ax+=+182%29\"\r\n" );
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document.write( "System 2:     \"system%28x%5E3+%2B+y%5E3+=+183%2C+%0D%0A+x%5E2%2Ay+%2B+x%2Ay%5E2+=+182%29\"\r\n" );
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document.write( "Multiply the 2nd equation by 3\r\n" );
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document.write( "\"system%28x%5E2%2Ax+%2B+y%5E2%2Ay+=+183%2C+%0D%0A+3x%5E2%2Ay+%2B+3y%5E2%2Ax+=+546%29\"\r\n" );
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document.write( "Add the two equations:\r\n" );
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document.write( "\"x%5E3%2B3x%5E2%2Ay%2B3x%2Ay%5E2%2By%5E3=729\"\r\n" );
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document.write( "Factor the left side:\r\n" );
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document.write( "\"%28x%2By%29%5E3=729\"\r\n" );
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document.write( "Take cube roots of both sides:\r\n" );
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document.write( "Eq. 1     \"x%2By=9\"\r\n" );
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document.write( "Factor the left side of the 1st equation in system 2\r\n" );
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document.write( "\"x%5E3+%2B+y%5E3+=+183\"\r\n" );
document.write( "\"%28x%2By%29%28x%5E2-xy%2By%5E2%29=183\"\r\n" );
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document.write( "Use Eq. 1 to substitute 9 for (x+y)\r\n" );
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document.write( "\"9%28x%5E2-xy%2By%5E2%29=183\"\r\n" );
document.write( "\"x%5E2-xy%2By%5E2=183%2F9\", reduce 183/9 to 61/3\r\n" );
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document.write( "Eq. 2     \"x%5E2-xy%2By%5E2=61%2F3\"\r\n" );
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document.write( "Square both sides of Eq. 1:\r\n" );
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document.write( "\"%28x%2By%29%5E2=9\"\r\n" );
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document.write( "Eq. 3     \"x%5E2%2B2xy%2By%5E2=81\"\r\n" );
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document.write( "Multiply Eq. 2 by -1 and add Eq. 3\r\n" );
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document.write( "\"%22%22-x%5E2%2Bxy-y%5E2=-61%2F3\"\r\n" );
document.write( " \"x%5E2%2B2xy%2By%5E2=81\"\r\n" );
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document.write( "\"3xy=-61%2F3%2B81\"\r\n" );
document.write( "\"3xy=-61%2F3%2B243%2F3\"\r\n" );
document.write( "\"3xy=182%2F3\"\r\n" );
document.write( "\"xy=182%2F9\"\r\n" );
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document.write( "Substitute \"182%2F9\" for xy in in Eq. 2\r\n" );
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document.write( "\"x%5E2-182%2F9%2By%5E2=183%2F9\"\r\n" );
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document.write( "\"x%5E2%2By%5E2=183%2F9%2B182%2F9\"\r\n" );
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document.write( "\"x%5E2%2By%5E2=365%2F9\"\r\n" );
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document.write( "Since x²=a and y²=b,\r\n" );
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document.write( "\"a%2Bb=365%2F9\"\r\n" );
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document.write( "\"expr%289%2F5%29%28a%2Bb%29=%289%2F5%29%28365%2F9%29+=+73\"\r\n" );
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document.write( "Edwin

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