Let z_1=2+3i and z_2=1-i. Perform the indicated operations and write the solutions in the form a+bi.
|z_2|= ?
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OpenStudy (anonymous):
a. -1-i
b. 1+i
c. -1+i
d. sqrt2
OpenStudy (anonymous):
Underscore refers to base
OpenStudy (amorfide):
what do you mean by base?
OpenStudy (anonymous):
z_1= z and then a little one right beside the z
OpenStudy (amorfide):
okay so
|dw:1338495487118:dw|
this means the modulus of z_2
modulus is Pythagoras
so you do 1² + (-i)²=1 + i²=1-1
1-1=0
root 0=0
modulus=0
i assume this is what you mean? unless the base means something different lol sorry
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OpenStudy (anonymous):
Yes this is what I mean. Thanks! But I don't think it matches with any of the options :\
OpenStudy (anonymous):
modulus is sqrt((1^2)+(-1)^2)
OpenStudy (anonymous):
simplify that...
OpenStudy (anonymous):
Simplified to sqrt2! Thanks!
OpenStudy (amorfide):
my bad i squared i not the imaginary part of i sorry
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OpenStudy (anonymous):
I wish I could give more than one medal. Thanks amorfide for the help and explanation!