document.write( "Question 1054562: find real numbers a and b such that the equation is true (a+3)+8bi=3-3i \n" ); document.write( "

Algebra.Com's Answer #669875 by ikleyn(52802) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "find real numbers a and b such that the equation is true (a+3)+8bi=3-3i
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Two complex numbers are equal if and only if \r\n" );
document.write( "\r\n" );
document.write( "   a)  their real parts are equal, AND\r\n" );
document.write( "   b) their imaginary parts are equal\r\n" );
document.write( "\r\n" );
document.write( "(by the definition).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In your case it gives TWO equalities\r\n" );
document.write( "\r\n" );
document.write( "a + 3 =  3,   (1)   and\r\n" );
document.write( "8b    = -3.   (2)\r\n" );
document.write( "\r\n" );
document.write( "Then a = 0  and  b = .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );