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H4Lz
@H4Lz
December 2019
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Calcule (-1+5i/2+3i)²
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3478elc
Calcule (-1+5i/2+3i)²
(-1+5i/2+3i)²
(-1+5i) = (-1+5i)(2-3i) = - 2 + 3i + 10i - 15i² ==> - 2 + 13i + 15
(2+3i)
(2+3i)(2-3i) 4 - 9i² 4+9
13 + 13i ==> 13(1+i) ==> 1 +i
13 13
============================================
(-1+5i/2+3i)² = (1+ i)² = 1 + 2i + i² ==> 1 + 2i - 1 ==> + 2i
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Calcule (-1+5i/2+3i)²
(-1+5i/2+3i)²
(-1+5i) = (-1+5i)(2-3i) = - 2 + 3i + 10i - 15i² ==> - 2 + 13i + 15
(2+3i) (2+3i)(2-3i) 4 - 9i² 4+9
13 + 13i ==> 13(1+i) ==> 1 +i
13 13
============================================
(-1+5i/2+3i)² = (1+ i)² = 1 + 2i + i² ==> 1 + 2i - 1 ==> + 2i