document.write( "Question 1170874: Please help me solve this question\r
\n" ); document.write( "\n" ); document.write( "Given (4+2i)m - (1-i)n = -9+9i. Find the complex numbers m and n if m is the conjugate of n.\r
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Algebra.Com's Answer #795793 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Please help me solve this question\r
\n" ); document.write( "\n" ); document.write( "Given (4+2i)m - (1-i)n = -9+9i. Find the complex numbers m and n if m is the conjugate of n.\r
\n" ); document.write( "\n" ); document.write( "thank you.
\n" ); document.write( "

(4 + 2i)m - (1  -  i)n = - 9 + 9i\r\n" );
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document.write( "Let m be a + bi\r\n" );
document.write( "Then n is: a - bi, since n is the conjugate of m\r\n" );
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document.write( "We then get: (4 + 2i)(a + bi) - (1 - i)(a - bi) = - 9 + 9i\r\n" );
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document.write( "3a - b = - 9 ---- Equating 1st terms ------ eq (i)\r\n" );
document.write( "3a + 5b = 9 ------- Equating 2nd terms ------ eq (ii)\r\n" );
document.write( "     6b = 18 ------ Subtracting eq (i) from eq (ii)\r\n" );
document.write( "     \r\n" );
document.write( "3a - 3 = - 9 ------- Substituting 3 for b in eq (i)\r\n" );
document.write( "    3a = - 6\r\n" );
document.write( "    \r\n" );
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