document.write( "Question 387560: Find real numbers a and b such that:
\n" );
document.write( "(a+2i)(1+bi)=17-19i
\n" );
document.write( "(i as in imaginary)
\n" );
document.write( "Thank you :D \n" );
document.write( "
Algebra.Com's Answer #273997 by Jk22(389)![]() ![]() You can put this solution on YOUR website! (a+2i)(1+bi)=a-2b+i(2+ab)=17-19i \n" ); document.write( " \n" ); document.write( "a-2b=17, 2+ab=-19, ab=-21, 21=3*7, try \n" ); document.write( " \n" ); document.write( "a b---: a-2b \n" ); document.write( "-3 7--:-3-14=-17 \n" ); document.write( " \n" ); document.write( "the solution is a=-3, b=7 \n" ); document.write( " |