document.write( "Question 65864: The expression: 2+i/3+i is equivalent to?\r
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document.write( "a)6+5i/8\r
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document.write( "b)6+i/8\r
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document.write( "c)7-5i/10\r
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document.write( "d)7+i/10
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Algebra.Com's Answer #46626 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! The expression: 2+i/3+i is equivalent to? \r \n" ); document.write( "\n" ); document.write( "First multiply the numerator and denominator by 3-i, the conjugate of 3+i. Now we are multiplying by(3-i)/(3-i) which equals 1\r \n" ); document.write( "\n" ); document.write( "((2+i)(3-i))/((3+i)(3-i)) and this equals:\r \n" ); document.write( "\n" ); document.write( "(6+3i-2i-i^2)/(9+3i-3i-i^2) and this equals:\r \n" ); document.write( "\n" ); document.write( "(7+i)/10 which is d)\r \n" ); document.write( "\n" ); document.write( "Note: -i^2=-(sqrt(-1))^2=-(-1)=+1\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |