Résoudre, dans C2, le système {3z1+z22z1+4z2==−2−i3−5i .
Correction
{3z1+z22z1+4z2==−2−i3−5i {z22z1+4z2==−2−i−3z13−5i {z22z1+4(−2−i−3z1)==−2−i−3z13−5i {z22z1−8−4i−12z1==−2−i−3z13−5i {z2−10z1−8−4i==−2−i−3z13−5i {z2−10z1==−2−i−3z13−5i+8+4i {z2−10z1==−2−i−3z111−i {z2z1==−2−i−3z1−1011−i {z2z1==−2−i−3z1−1011−i {z2z1==−2−i−3z1−1011+−10−i {z2z1==−2−i−3z1−1011+101i {z2z1==−2−i−3×(−1011+101i)−1011+101i {z2z1==−2−i+1033−103i−1011+101i {z2z1==−1020−1010i+1033−103i−1011+101i {z2z1==1013−1013i−1011+101i Le couple solution du système {3z1+z22z1+4z2==−2−i3−5i est alors