document.write( "Question 176897: what is the recipical of 7-4i/5 \n" ); document.write( "

Algebra.Com's Answer #131953 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The easy answer is $\"5%2F%287-4i%29\"$ .
\n" ); document.write( "Teacher's typically don't like complex numbers in the denominator.
\n" ); document.write( "So multiply numerator and denominator by the complex conjugate,
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\n" ); document.write( " $\"%285%2F%287-4i%29%29%28%287%2B4i%29%2F%287%2B4i%29%29=%2835%2B20i%29%2F%2849%2B16%29\"$
\n" ); document.write( " $\"%285%2F%287-4i%29%29%28%287%2B4i%29%2F%287%2B4i%29%29=%2835%2B20i%29%2F%2865%29\"$
\n" ); document.write( " $\"%285%2F%287-4i%29%29%28%287%2B4i%29%2F%287%2B4i%29%29=%287%2F13%29%2B%284%2F13%29i\"$
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\n" ); document.write( "The reciprocal of (7-4i)/5 is (7/13)+(4/13)i. \n" ); document.write( "

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