document.write( "Question 351316: 3+5i........5-5i 4-5i
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\n" ); document.write( "9-2i........1+5i 1+5i\r
\n" ); document.write( "\n" ); document.write( "I have been able to solve these problems in the form of a + bi but when it comes to fractions and dividing I am lost. Please help! Thank you so much!
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Algebra.Com's Answer #251263 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
3+5i........5-5i 4-5i
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\n" ); document.write( "9-2i........1+5i 1+5i
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\n" ); document.write( "\"%283%2B5i%29%2F%289-2i%29\"
\n" ); document.write( "Multiply by the conjugate of the denominator over itself (same as mult by 1)
\n" ); document.write( "\"%283%2B5i%29%2F%289-2i%29\" * \"%289%2B2i%29%2F%289%2B2i%29\" = \"%2827%2B6i%2B45i%2B10i%5E2%29%2F%2881-4i%5E2%29\" = \"%2827%2B51i%2B10%28-1%29%29%2F%2881-4%28-1%29%29\" = \"%2827%2B51i-10%29%2F%2881%2B4%29\" = \"%2817%2B51i%29%2F85\"
\n" ); document.write( "which is
\n" ); document.write( "\"17%2F85\"+\"%2851i%29%2F85\"
\n" ); document.write( "reduce the fractions
\n" ); document.write( "\"1%2F5\" + \"%283i%29%2F5\" = \"%281%2B3i%29%2F5\"
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\n" ); document.write( "\"%28%285-5i%29%29%2F%28%281%2B5i%29%29\" + \"%28%284-5i%29%29%2F%28%281%2B5i%29%29\"
\n" ); document.write( "these have the same denominator so we can
\n" ); document.write( "\"%28%285%2B4-5i-5i%29%29%2F%28%281%2B5i%29%29\" = \"%28%289-10i%29%29%2F%28%281%2B5i%29%29\"
\n" ); document.write( "Multiply by the conjugate of the denominator
\n" ); document.write( "\"%28%289-10i%29%29%2F%28%281%2B5i%29%29\" * \"%28%281-5i%29%29%2F%28%281-5i%29%29\" = \"%28%289-45i-10i%2B50i%5E2%29%29%2F%28%281-25i%5E2%29%29\" = \"%28%289-55i%2B50%28-1%29%29%29%2F%28%281-25%28-1%29%29%29\" = \"%28%289-55i-50%29%29%2F%28%281%2B25%29%29\" = \"%28-41-55i%29%2F26\"
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