document.write( "Question 1050742: Prove that Re(z)=(z+z')/2 \n" ); document.write( "

Algebra.Com's Answer #666349 by rothauserc(4718) $\"\"$ $\"About$

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z is the complex number, z = x + yi
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\n" ); document.write( "z' = Re(z) - i*Im(z) where Re(z) is the real portion of z and Im(z) is imaginary portion of z and i is square root of (-1)
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\n" ); document.write( "z + z' = x + yi + Re(z) - i*Im(z)
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\n" ); document.write( "z + z' = x + yi + x - i*y
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\n" ); document.write( "z + z' = x + yi + x - yi = 2x
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\n" ); document.write( "2x / 2 = x = Re(z)
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