document.write( "Question 1169576: Find all solutions to the system\r
\n" ); document.write( "\n" ); document.write( "a + b = 14
\n" ); document.write( "a^3 + b^3 = 812.\r
\n" ); document.write( "\n" ); document.write( "How would I solve this? (Not looking for an answer by the way) \n" ); document.write( "
Algebra.Com's Answer #794375 by MathTherapy(10556)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Find all solutions to the system\r
\n" ); document.write( "\n" ); document.write( "a + b = 14
\n" ); document.write( "a^3 + b^3 = 812.\r
\n" ); document.write( "\n" ); document.write( "How would I solve this? (Not looking for an answer by the way)
\n" ); document.write( "
a + b = 14 ----- eq (i)
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document.write( " ---- Squaring eq (1) ---- eq (ii)
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document.write( "\"matrix%281%2C3%2C+a%5E3+%2B+b%5E3%2C+%22=%22%2C+812%29\"
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document.write( "\"matrix%281%2C3%2C+%28a+%2B+b%29%28a%5E2+-+ab+%2B+b%5E2%29%2C+%22=%22%2C+812%29\" ----- eq (iii)
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document.write( "(14)(196 - 2ab - ab) = 812 ----- Substituting 14 for a + b, and 196 - 2ab for \"a%5E2+%2B+b%5E2\" in eq (iii)  
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document.write( "Can you now take it from here? You now know what a + b equals, and from above, what ab is! \n" );
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