document.write( "Question 623816: 5-i/6+3i \n" ); document.write( "
Algebra.Com's Answer #392385 by Theo(13342)![]() ![]() You can put this solution on YOUR website! (5-i) / (6 + 3i) \n" ); document.write( "multiply numerator and denominator by (6 - 3i) to get: \n" ); document.write( "[ (5-i) * (6 - 3i) ] / [ (6 + 3i) * (6 - 3i) ] \n" ); document.write( "simplify numerator and denominator by performing multiplication to get: \n" ); document.write( "[ 30 - 15i - 6i + 3i^2 ] / [ 36 - 18i + 18i - 9i^2 ] \n" ); document.write( "simplify by combining like terms to get: \n" ); document.write( "[ 30 - 21i + 3i^2 ] / [ 36 - 9i^2 ] \n" ); document.write( "since i^2 is equal to -1, simplify further to get: \n" ); document.write( "[ 30 - 21i - 3 ] / [ 36 + 9 ] \n" ); document.write( "combine like terms to get: \n" ); document.write( "[ 27 - 21i ] / [ 45 ] \n" ); document.write( "separate the real part of this answer from the imaginary part of this answer to get: \n" ); document.write( "27 / 45 - 21i / 45 \n" ); document.write( "simplify by reducing fractions to get: \n" ); document.write( "3 / 5 - 7i / 15 \n" ); document.write( "that's your answer. \n" ); document.write( "(3/5) - (7/15)i \n" ); document.write( " \n" ); document.write( " |