document.write( "Question 1102140: how do you find the multiplicative inverse of 3-i \n" ); document.write( "

Algebra.Com's Answer #716775 by stanbon(75887) $\"\"$ $\"About$

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how do you find the multiplicative inverse of 3-i
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\n" ); document.write( "Solve (3-i)x = 1 for 'x
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\n" ); document.write( "x = 1/(3-i)
\n" ); document.write( "Multiply numerator and denominator by 3+i to get:
\n" ); document.write( "x = (3+i)/[(3-i)(3+i)]
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\n" ); document.write( "x = (3+i)/[9-i^2] = (3+i)/[9+1] = (3/10)+ (1/10)i
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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