X² + 2ix - 2 = 0 que sale ayuden plis?

Respuesta : <img src="https://tex.z-dn.net/?f=x%3D1-i%2C%5C%3Ax%3D-1-i" />Explicación paso a paso : <img src="https://tex.z-dn.net/?f=x%5E2%2B2ix-2%3D0%5C%5C%5C%5C%5Cmathrm%7BSustituir%5C%3A%7Dx%3Da%2Bbi%5C%5C%5C%5C%5Cleft%28a%2Bbi%5Cright%29%5E2%2B2i%5Cleft%28a%2Bbi%5Cright%29-2%3D0%5C%5C%5C%5C%5Cmathrm%7BDesarrollar%5C%3A%7D%5Cleft%28a%2Bbi%5Cright%29%5E2%2B2i%5Cleft%28a%2Bbi%5Cright%29-2%3A%5Cquad%20%5Cleft%28a%5E2-b%5E2-2b-2%5Cright%29%2Bi%5Cleft%282a%2B2ab%5Cright%29%5C%5C%5C%5C%5Cleft%28a%5E2-b%5E2-2b-2%5Cright%29%2Bi%5Cleft%282a%2B2ab%5Cright%29%3D0%5C%5C%5C%5C%5Cmathrm%7BReescribir%5C%3A%7D0%5Cmathrm%7B%5C%3Aen%5C%3Ala%5C%3Aforma%5C%3Abin%C3%B3mica%3A%5C%3A%7D0%2B0i%5C%5C%5C%5C%5Cleft%28a%5E2-b%5E2-2b-2%5Cright%29%2Bi%5Cleft%282a%2B2ab%5Cright%29%3D0%2B0i%5C%5C%5C%5C" /><img src="https://tex.z-dn.net/?f=Un%5C%3Aconjunto%5C%3Ade%5C%3Anumeros%5C%3Acomplejos%5C%3Asolo%5C%3Apueden%5C%3Aser%5C%3Aiguales%5C%3Asi%5C%3Asu%5C%3Apartes%5C%3Areal%5C%3Ae%5C%3Aimaginaria%5C%3Ason%5C%3Aiguales.%5C%5C%5C%5C%5Cmathrm%7BRreescribir%5C%3Acomo%5C%3ASistema%5C%3Ade%5C%3Aecuaciones%3A%7D%5C%5C%5C%5C%5Cbegin%7Bbmatrix%7Da%5E2-b%5E2-2b-2%3D0%5C%5C%202a%2B2ab%3D0%5Cend%7Bbmatrix%7D%5C%5C%5C%5C%5Cbegin%7Bbmatrix%7Da%5E2-b%5E2-2b-2%3D0%5C%5C%202a%2B2ab%3D0%5Cend%7Bbmatrix%7D%3A%5Cquad%20%5Cbegin%7Bpmatrix%7Da%3D1%2C%5C%3A%26b%3D-1%5C%5C%20a%3D-1%2C%5C%3A%26b%3D-1%5Cend%7Bpmatrix%7D%5Cmathrm%7BSustituir%5C%3Aen%5C%3Ala%5C%3Aecuacion%7D%5C%3Ax%3Da%2Bbi%5C%5C%5C%5Cx%3D1-i%2C%5C%3Ax%3D-1-i" />.