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When dividing complex numbers, we multiply the numerator and denominator by something called the complex conjugate of the denominator. Long words for a simple idea. Basically, it is the negative of the complex number in the divisor. By doing this, we eliminate the complex number, and are left with a positive, real number denominator, where we started out with a complex number. So...\r
\n" ); document.write( "\n" ); document.write( "(3 + 5i)/2i * (-2i)/(-2i) = (10-6i)/4\r
\n" ); document.write( "\n" ); document.write( "Which reduces to \r
\n" ); document.write( "\n" ); document.write( "(5 - 3i)/2, or 5/2 - 3i/2\r
\n" ); document.write( "\n" ); document.write( "On the bottom, 2i * -2i = (-4)(i^2). Working with complex numbers, you must know that i^2 is -1. So this expression is equal to (-4)(-1). Which equals 4.\r
\n" ); document.write( "\n" ); document.write( "And on the top, (3)(-2i) = -6i, and (5i)(-2i) = (-10)(i^2) = (-10)(-1) = 10\r
\n" ); document.write( "\n" ); document.write( "Hope this helps! Learn on
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