document.write( "Question 530668: (6-i) divided by (5+4i) \n" ); document.write( "

Algebra.Com's Answer #350187 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%286-i%29%2F%285%2B4i%29\"$ Multiply both the numerator and the denominator by the complex conjugate of $\"%285%2B4i%29\"$ which is $\"%285-4i%29\"$ .
\n" ); document.write( " $\"%286-i%29%285-4i%29%2F%285%2B4i%29%285-4i%29\"$ Multiply using FOIL.
\n" ); document.write( " $\"%2830-24i-5i%2B4i%5E2%29%2F%2825-20i%2B20i-16i%5E2%29\"$ Simplify. Replace: $\"i%5E2+=+-1\"$
\n" ); document.write( " $\"%2830-29i%2B4%28-1%29%29%2F%2825-16%28-1%29%29\"$
\n" ); document.write( " $\"highlight%28%2826-29i%29%2F%2841%29%29\"$ \n" ); document.write( "

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