Star M.

asked • 01/26/18

can you help me with math I don't understand that.

Evaluate the given expression for z = 3 − 5i and w = 4 + 2i.

/ z + w

the bar above the z+w means 'conjugate'

Andrew M.

You have a slash before the Z
Is something missing from the problem statement or is that just a typo?
 
Z + W = 3 - 5i + 4 + 2i = 7 - 3i
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01/26/18

Star M.

the bar above the z+w means 'conjugate'
but I do not how to do it?
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01/26/18

Arturo O.

Student,
 
The conjugate of
 
z = x + iy
 
with x and y real is just
 
z* = x - iy 
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01/26/18

1 Expert Answer

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Andrew M. answered • 01/26/18

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Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

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So your are looking to add the conjuage of z to w...
 
The conjugate of a + bi is a - bi  and vice versa
Z = 3 - 5i
/Z = 3 + 5i
 
/Z + W = (3 + 5i) + (4 + 2i) = 7 + 7i 
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Andrew M.

If you are looking for the conjuage of the sum of Z+W then:
 
Z + W = 7 - 3i
 
The conjugate of 7-3i is 7+3i
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01/26/18

Star M.

Thank you:)
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01/26/18

Andrew M.

You're welcome Star.
As for conjugates... just put the term in a + bi format and
then change the sign in the middle.  :-)
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01/26/18

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