document.write( "Question 913204: The sum of two complex number is 4 and their product is 13. What are the two complex numbers?
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document.write( "(a+bi)(c+di) = 13 \n" );
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Algebra.Com's Answer #554347 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substituting for b into these last two equations \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "and \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "and summarizing the THREE equations which use just variables a,c,d is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The last equation in the summary of the three-equation system equivalently gives \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Looking at the first equation of that system and the last equation and assuming \n" ); document.write( " \n" ); document.write( "with the assumption about d allows to have the system: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Find through adding first of those to the last of those, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "and then \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Return to the two equation which came from the product 13. \n" ); document.write( "- \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "- \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "- \n" ); document.write( "Again \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "- \n" ); document.write( "Because we found \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The variables a, b, c, and d, have now been solved for. \n" ); document.write( "ANSWER: The two complex numbers are 2-3i and 2+3i. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |