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jis
@jis
June 2021
1
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Nombres complexes svp ! : additon et multiplication
a)
(2-3i)+(1+2i)
b)
( 2-5i) +(3-i)
c)
( 2+i)-(-3-i)
d)
(1+i)(2+i)
e)
(2+3i)(4-i)
f)
(1+i)²
Division
a)
2/1-i
b)
2+i/3-2i
c)
i/2+i
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droopette
A)
(2-3i)+(1+2i)
=2-3i+1+2i
=3-i
b)
( 2-5i) +(3-i)
=2-5i+3-i
=5-6i
c)
( 2+i)-(-3-i)
=2+i+3+i
=5+2i
d)
(1+i)(2+i)
=2+i+2i+i²
=i²+3i+2
e)
(2+3i)(4-i)
=8-2i+12i-3i²
=-3i²+10i+8
f)
(1+i)²
=1+2i+i²
Division
a)
2/1-i
=2-i
b)
2+i/3-2i
=6+i/3-6i/3
=6-5i/3
c)
i/2+i
i/2+2i/2
=3i/2
0 votes
Thanks 1
jis
merci beaucoup !!
droopette
de rien :)
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=2-3i+1+2i
=3-i
b) ( 2-5i) +(3-i)
=2-5i+3-i
=5-6i
c) ( 2+i)-(-3-i)
=2+i+3+i
=5+2i
d) (1+i)(2+i)
=2+i+2i+i²
=i²+3i+2
e) (2+3i)(4-i)
=8-2i+12i-3i²
=-3i²+10i+8
f) (1+i)²
=1+2i+i²
Division
a) 2/1-i
=2-i
b) 2+i/3-2i
=6+i/3-6i/3
=6-5i/3
c) i/2+i
i/2+2i/2
=3i/2